help please!! This is due 2 and a half hours. I can’t figure out the problem please help me
Answers
Answer:
g(x) = 2|x|: vertical stretch by a factor of 2.
h(x) = ⅓|x|: vertical compression by a factor of ⅓.
w(x) = 4|x|: vertical stretch by a factor of 4.
Step-by-step explanation:
Given the graph of an absolute value parent function, f(x) = |x|:
g(x) = 2|x|Multiplying the parent function by a number, where a > 1 causes a vertical stretch by a factor of a.
Hence, when a > 1, the graph is narrower than the parent function.
In the case of the function, g(x) = 2|x|, the graph represents a vertical stretch by a factor of 2. When a vertical stretch occurs, the y-coordinates will be twice of what the y-coordinates of the parent function. For instance, compare the y-coordinates of f(x) = |x| and g(x) = 2|x| when x = 1.
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In g(x) = 2|x|, when x = 1, y = 2.
h(x) = ⅓|x|Multiplying the parent function by a number, where 0 < a < 1 causes a vertical compression by a factor of a.
Hence, when 0 < a < 1 , the graph is wider than the parent function.
In the case of the function, h(x) = ⅓|x|, the graph represents a vertical compression by a factor of ⅓. When a vertical compression occurs, the y-coordinates will be ⅓ of what the y-coordinates of the parent function.
If you compare the y-coordinates of the parent function, f(x) = |x|, and h(x) = ⅓|x|, when x = 1:
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In h(x) = ⅓|x|: when x = 1, y = ⅓.
w(x) = 4|x|Using the same techniques presented in the previous sections of this post, we could focus on comparing the difference between the y-coordinates of the parent graph, f(x) = |x|, and w(x) when x = 1.
In the parent graph, f(x) = |x|: when x = 1, y = 1.
In w(x) = a|x|, when x = 1, y = 4.
This shows that the graph is vertically stretched by a factor of 4, where the graph appears narrower than the parent function.
Therefore, the function that represents the given graph is w(x) = 4|x|.
Related Questions
What is the symbol for a square root
Answers
Answer:
The symbol for a square root is [tex]\sqrt{}[/tex].
:)
Answer:
√
Step-by-step explanation:
Math=Explanitory
What is the range of f(x)?
Answers
Answer:
{ f(x)| -∞ < f(x) ≤ 4 }
Step-by-step explanation:
The range of a function is the interval of every y-value represented on the function. Since the highest this function goes on the y-axis is to y=4, we know that the upper limit of the range is 4, which is inclusive because the function actually reaches this value. The function also appears to go down indefinitely on the right side, so the lower limit is -∞, which is non-inclusive because we will never reach that value.
The range is -∞ < f(x) ≤ 4
Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?
Answers
He spent on transport = 20%
spent on breakfast = 60/-
spent on lunch = 15%
remaining amount = 340
rs he spent on transport = 20/100 × 340 =68
rs he spent on lunch = 15/100 × 340 = 51
Therefore, total of his pocket money = 68 + 51 + 60 + 340
= ₹519
Y=x+2 slope intercept form
Y+3=-1/4x
Answers
[tex] \: [/tex]
= m = 1 , b = 1step-by-step explanation
[tex]y = x +2[/tex]
the coefficient is 1[tex]y = 1x + 1[/tex]
identify the slope,since the equation is written in slope-intercept form y=mxb, identify the slope of the line as the coefficient next to the variable x
[tex]y = 1x + 1 \: ,m = 1[/tex]
identify the y-intercept[tex]y = 1x + 1 \: ,m = 1 \: ,b = 1[/tex]
the slope is m=1 and the y-intercept is b=1so the answer to the equation is
[tex] = m = 1,b = 1[/tex]
hope it helps[tex] \: [/tex]
#1
[tex]\\ \sf\longmapsto y=x+2[/tex]
Slope intercept form=y=mx+b
On comapring we get
m=1b=2#2
[tex]\\ \sf\longmapsto y+3=\dfrac{-1}{4}x[/tex]
[tex]\\ \sf\longmapsto y=-\dfrac{1}{4}x-3[/tex]
m=-1/4b=-3Identify the conclusion of the statement.
If AB is a segment, then it has two endpoints.
A. The segment has two endpoints.
B. If AB is a segment.
C. AB vis a segment.
D. Then, the segment has two endpoints.
Answers
Answer:
its b
Step-by-step explanation:
what is the scale factor?
Answers
Use this:
The basic formula to find the scale factor of a figure is: Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. This can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.
Answer:
1 2/3 is the scale factor
Step-by-step explanation:
So the scale factor either makes soemthing bigger or smaller
In this case it’s getting bigger
So we have one side already so we jsut find the value that was multiplied
so 9 * ? Is 15
You
d get 1 2/3
The points (7,5) and (-5, 8) fall on a particular line. What is its slope
Answers
Answer:
-3/12
Step-by-step explanation:
To figure out the answer, you have to use the formula: [tex]\frac{Y2-Y1}{X2-X1}[/tex] to find the slope.
plug in the coordinates: 7,5
-5,8
[tex]\frac{5-8}{7-(-5)}[/tex]= which will equal= [tex]\frac{-3}{12}[/tex]
Have a wonderful week!
1. You have two pieces of tape of 56 metres and 56 metres in length. If you connect both pieces together end-to-end, how long is your new piece of tape?
Answers
Answer:
Step-by-step explanation:
If the two pieces of tape are truly placed end-to-end, there will be no tape at the joint to connect the two pieces. In the real world, one of the 56 m pieces will have to overlap one end of the other piece to make up a single new piece of tape whose length must be a little less than 2(56 m), or a lilttle less than 112 m. There is no one specific correct answer because the experimenters vary in how much tape overlap to allow.
The new tape would measure 112m after the two fragments are joined.
What is addition?Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.
Given:
A piece of tape 56 m long and we are to add another 56 m
Thus the sum of these two tapes is equal to 56+56=112 m
Hence, the new tape is 112m long.
Learn more about addition here:
https://brainly.com/question/29560851
#SPJ2
can anyone help. how to solve this plz. 58power4 -388
Answers
Answer:
The answer is 11,316,108
Step-by-step explanation:
[tex]58^{4} - 388[/tex]
(58)(58)(58)(58) - 388
11,316,496 - 388
= 11,316,108
15 POINTS, to lazy please help.
Answers
Answer:
(2, - 1 )
Step-by-step explanation:
The solution to the system is at the point of intersection of the 2 lines.
They intersect at (2, - 1 ) ← solution
Answer:
1427832.087y4441x6.7
fracciones equivalentes a 2/7
Answers
No links. Michelle has $1200 in her savings account if the bank pays 3% interest per year on savings how much interest does she earn in one year
Answers
Answer:
$1236
Step-by-step explanation:
3%=1.03 as a decimal multiplier
1200 x 1.03 = $1236
Use the following function rule to find f(2).
f(x) = 2^x
f(2) =
Answers
Answer:
4
Step-by-step explanation:
2²
4PLEASE MARK ME AS BRAINLISTHELP PLZ You measured a floor tile as 12 inches by 10 inches. It is actually 10 inches by 10 inches. What is the percent error of the area?
Answers
Area of measured tile: 12 x 10 = 120 square inches
Area of actual tile = 10 x 10 = 100 square inches:
Percent error = 120-100 = 20/100 = 0.20 x 100 = 20%
Answer: 20%
4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
y = −3x^2 − 29x + 30
A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30
B. linear function; linear term: −29x; constant term: 30
C. linear function; linear term: −26x; constant term: −24
D. quadratic function; quadratic term: 4x^2; linear term: −26x; constant term: −24
Answers
Answer:
A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30
Step-by-step explanation:
this is a quadratic function
quadratic term is -3x^2 , linear = -29x and constant = + 30.
Answer:
Quadratic term = (-3x²)
Linear term = (-29x)
Constant term = 30
Step-by-step explanation:
We have to classify the function as linear or quadratic.
Linear function ⇒ Is a function in which highest degree of variable is one.
Quadratic function ⇒ Is a function in which highest degree term or variable is 2.
Therefore, in the given function y = -3² - 29x + 30, (-3x²) is the highest degree term with the degreeof 2.
So the given function is quadratic.
In this function Quadratic term = (-3x²)
Linear term = (-29x)
Constant term = 30
Kayla drives her new car to work every day. It uses 1 3/5 gallons of gas for each round trip. How many round trips to work can Kayla drive on a 16 gallon full tank of gas? The trail length is 15 5/6
Answers
Answer:
10
Step-by-step explanation:
[tex]\left \{ {{y=2} \atop {x=2}} \right. x_{123}[/tex]
Answers
Answer:
if a joke i dont know
Find an equation of the line passing through the point (2, 7) with slope m= 6.
Answers
Answer:
y - 7 = 6(x - 2)
Step-by-step explanation:
1. Since we're given one point and the slope of a line, we can use the point slope form: [tex]y-y_1=m(x-x_1)[/tex]
m = slopey_1 = first y-coordinatex_1 = first x-coordinate2. (Plugging in values)
[tex]y-7=m(x-x_1)[/tex] [tex]y-7=6(x-x_1)[/tex] [tex]y-7=6(x-2)[/tex]Therefore, one equation of the line is y - 7 = 6(x - 2).
valentina wants to grow out her hair. it grows 0.5 inches per month, and it is currently 9 inches long. write an equation that shows the relationship between that shows the relationship between the number of months that valentina grows out her hair, x, and the length of her hair in inches, y
Answers
Answer:
y=0.5x+9
Step-by-step explanation:
PLS HELP!!
IM GIVING BRAINLIEST!!!
No stealing points, no links, only correct answers!!!!!
Answers
I know because I compared the graph of f(x) to the graph of the equation that answer D gave. What I got is shown in the image. (Blue line is g(x) and red line is f(x))
Please help ME for brainliest.
Answers
Answer:
-1.2y + -4.2y = -3.78
I don't understand what I am supposed to do after I combine terms
Answers
I think you have to put all the fractions on one side of the equation and the x-terms on the other side. But I don't see an option for that...
Answer:
x = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] - 4x + [tex]\frac{7}{2}[/tex] = - 9x + [tex]\frac{5}{6}[/tex]
Multiply through by 6 ( the LCM of 3, 2 and 6 ) to clear the fractions
4 - 24x + 21 = - 54x + 5 , that is
25 - 24x = - 54x + 5 ( add 54x to both sides )
25 + 30x = 5 ( subtract 25 from both sides )
30x = - 20 ( divide both sides by 30 )
x = [tex]\frac{-20}{30}[/tex] = - [tex]\frac{2}{3}[/tex]
A stone is thrown vertically upwards.its height , y ,meter from the ground after x seconds is given by the formulae x=17y-2y².find the time,in seconds,when the stone is at the height of 8 meter from the ground.
Answers
Time can't be negative so we need to get absolute value of x .
−7a − 12q + 6a + 13q + 4a − 7a
Answers
Answer:
-4a + q
Step-by-step explanation:
Group the a-values together and the q-values together and simplify:
-7a + 6a + 4a - 7a - 12q + 13 q
= -4a + q
Write the equation of the line passes through the point (10, 2) and is perpendicular to the line: y=-5x+7
Please show work
Answers
Answer:
Perpendicular line: y = ⅕x + 0 or y = ⅕x
Step-by-step explanation:
Given the point, (10, 2), and the linear equation, y = -5x + 7:
In order to find the equation of the perpendicular line that passes through (10, 2), we must first determine the definition of perpendicular lines.
Definition:Perpendicular lines have negative reciprocal slopes ⇒ this means that when you take and multiply the slopes of both lines, it results in a product of -1.
In other words, since the slope of the given line, y = -5x + 7 is m₁ = -5, then it means that the slope of the other line must be m₂ = ⅕ because:m₁ × m₂ = -1
-5 × ⅕ = -1
Solution:Now that we have the slope of the other line, m₂ = ⅕, and the given point, (10, 2), substitute these values into the slope-intercept form to solve for the y-intercept, b :
y = mx + b
2 = ⅕(10) + b
2 = 2 + b
Subtract 2 from both sides:
2 -2 = 2 -2 + b
0 = b
Hence, the y-intercept is b = 0.
Equation:The linear equation of the perpendicular line that passes through point (10, 2) is: y = ⅕x + 0 or y = ⅕x
simpifly (4^7/5^2)^3
Answers
Reed has 3 boards. Each board is 4 yards long. Reed needs to cut 2 -foot-long sections for his project. What is the maximum number of 2 -foot-long sections Reed can cut from the boards?
Answers
Answer:
19
Step-by-step explanation:
3 boards that are 12 feet long = 38÷2=19
what’s y = x +-2 -76
Answers
Answer:
y = x - 78
Step-by-step explanation:
y = x +-2 -76
y = x -78
Which equation can be used to determine the number of hourse, h hector works given the number of weeks w?
A. h = 20w
B. W=20h
C. H=2102
D.w=210h
help pleasee
Answers
[tex] \: \: \: \: \: [/tex]
A. h = 20wh=20win one week hector works 20 hoursin two hector works 40 etch = hours and w = weeks. the money is just extra information.h=20w works because if ithope it helps[tex] \: \: \: \: \: [/tex]
Determine whether each equation represents a linear or nonlinear function.
Drag each equation into the appropriate box.
Linear Function Nonlinear Function
y = {x-6
y = (x - 5)2
y = 2* +8
y = 3(x + 7)
y = 4x3 - 1
Answers
Answer:
y=1/2x=6 - linear, written as y=mx+b.
y=(x-5)^2 - nonlinear, x has an exponent greater than 1
y=2^x+8 - nonlinear, x is an exponent
y=3(x+7) - linear, can be written as y=mx+b (y=3x+21)
y=4x^3-1 - nonlinear, x has an exponent greater than 1
Step-by-step explanation: