find the equation of the graphed function.
f(x)= _________​

Find The Equation Of The Graphed Function.f(x)= _________

Answers

Answer 1

Answer:

y =(x+3) ^2

Step-by-step explanation:

The zero is -3 and it  is the vertex  (-3,0)

Using the vertex form of a parabola  where  ( h,k) is the vertex

y = a( x-h)^2 +k

y =a(x- -3) ^2+0

y =a(x+3) ^2

We also know another point is ( -1,4)

Substituting that point into the equation

4 = a( -1+3) ^2

4 = a( 2)^2

4 = a*4

Divide each side by 4

1 =a

The equation is

y =(x+3) ^2


Related Questions

Zach mows lawns. He charges $5 plus $3 per hour. Alex also mows lawns He charges $2 plus $4 per hour. How many hours do they need to work to make the same amount

Answers

Answer:

They both need to work 3 hours to get the same amount of $14.

Step-by-step explanation:

If you have a graphing calculator handy, just graph the two expressions 3x + 5 and 4x + 2 and look for the point where they intersect. If you don't have a graphing calculator set up the equation 3x + 5 = 4x + 2. Subtract 4x from both sides to get -x + 5 = 2. Then subtract 5 from both sides to get -x = -3. Since x shouldn't be negative, divide both sides by -1. You do this because just like x is 1x, -x is -1x. After dividing, you should get x = 3.


Factorise fully
10c + 25​

Answers

Answer:

5(2c+5)

I hope this helps

Melody is factoring the expression x^3 - 2x^2 + 4x - 8. Her first two steps are shown.

x^3 - 2x^2 + 4x - 8 = x^2(x - 2) + 4(x - 2)
= (x^2 + 4)(x - 2)

What should Melody do next to finish factoring the expression?

A. Melody has completely factored the expression.

B. Melody should rewrite (x^2 + 4) as (x - 2)^2

C. Melody should rewrite (x^2 + 4) as (x - 2)(x + 2)

D. Melody should rewrite (x^2 + 4) as (x + 2)^2

Answers

Answer:

A, melody completed factoring

Step-by-step explanation:

Melody has completely factored the expression which is correct option(A).

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given the expression,

⇒ x³ - 2x² + 4x - 8

⇒ x²(x - 2) + 4(x - 2)

⇒ (x² + 4)(x - 2)

So, factors of given expression are (x² + 4)  and (x - 2).

Hence, Melody has completely factored the expression.

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Find the value of 45\75=5

Answers

Answer:

.6

Step-by-step explanation:

The graph displays the function g(x) = Equals 2 cosine (x + StartFraction pi Over 2 EndFraction) minus 2.
Which function h(x) results when g(x) is translated StartFraction 7 pi Over 8 EndFraction units right and 1 unit down?
h (x) = 2 cosine (x minus StartFraction 3 pi Over 8 EndFraction) minus 1
h (x) = 2 cosine (x minus StartFraction 3 pi Over 8 EndFraction) minus 3
h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 1
h (x) = 2 cosine (x + StartFraction 11 pi Over 8 EndFraction) minus 3
On a coordinate plane, a function has a maximum of 0 and minimum of negative 4. It completes one period at 2 pi. It decreases through the y-axis at (0, negative 2).

Answers

Answer:

its b on edge 2021

Step-by-step explanation:

The required function h(x) is [tex]h (x) = 2 cos (x + \frac{11\pi }{8} ) - 3[/tex] . Option d is correct.

Function g(x) =  [tex]2 cos (x +\frac{\pi }{2} )- 2[/tex]

What are trigonometric equations?

Equation which includes trigonometric operators eg sin, cos.. etc.. In algebraic processes.

Here, the phase of the curve is increase by 7π/8.
So the phase = π/2 + 7π/8
                       = 11 π/8
And Shift of curve along y axis is by -1.


So, the total shift = -2-1
                              = -3

⇒ h(x) = [tex]2 cos (x + \frac{11\pi }{8} ) - 3[/tex]

Thus, h(x) = [tex]2 cos (x + \frac{11\pi }{8} ) - 3[/tex].

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Help:(
At a manufacturing plant where switches are made, it is a known fact that 2% of all switches are defective. If two
switches are used in a device, what is the probability that both switches are good?
0.9604
b. 0.02
C. 0.98
d. 49

Answers

Answer:

A) 0.9604

Step-by-step explanation:

Because it is.

whats 2 plus 2? do u know?

Answers

I think it might be 4.. I’m not sure tho

Given the following equations of lines, are the lines Parallel, Perpendicular or Neither? y = 5x -2 and y = 5x + 4 *

Answers

Answer:parallel

Step-by-step explanation:

Fifty students are going on a field trip. Twenty of the students are boys. What percent of the students are girls?

Answers

Answer:

60% would be the correct answer

Step-by-step explanation:

The girls percentage among students is 60%.

What is a percentage?

A percentage is a proportion that shows a number as parts per hundred. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

For the given situation,

Total number of students = 50

Number of boys = 20

Number of girls = [tex]50-20[/tex]

⇒ [tex]30[/tex]

Thus, girls percentage is

⇒ [tex]\frac{30}{50}(100)[/tex]

⇒ [tex]60[/tex]

Hence we can conclude that the girls percentage among students is 60%.

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Select all choices that describe rectangles with same area that are NOT congruent.

Answers

Answer:

Where are the options? This is kinda broad..

Answer:

Step-by-step explanation:

Beleaguered State Bank (BSB) holds $400 million in deposits and maintains a reserve ratio of 10 percent.

Answers

Deposits are worth 400 million and since reserve ratio is 10%, required reserves are 40 million and ;loans outstanding are worth 360 million Beleaguered State Bank Assets Liabilities Reserve

7y + 5 = 54 what is y

Answers

Answer:

7

Step-by-step explanation:

7x7=49+5=54

Answer:

y = 7

Step-by-step explanation:

Alrighty, here we go!

First step is to subtract 5 from 5 and from 54. Cancel out the 5's.

After doing so, you have 7y = 49.

Now, divide 7 from 7y and from 49. Cancel out the 7's.

Now you have y = 7

There is your answer!

Mark brainliest if possible please :)

The original price for a jacket is $124.95. It is on sale for 20% off. Which of the following gives the best estimate of the savings?

Answers

Answer:

24.99

Step-by-step explanation:

We first must figure out the current price of the jacket, we need to multiply the original price (124.95) times .80 (1.00 - .20). Doing so we get a total of 99.96. In order to find the savings, we subtract the original price by the new price. 124.95-99.96 = a savings of 24.99

Answer:

You would be saving 24.99 dollars

Step-by-step explanation:

Find 20% of 124.95 using P(percentage in decimal form) times X(original number) and you should have your answer.

Hope this helps!

Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
OA. VE2
✓ B. 1: 13
C. 5 : 13
OD. 2.5: 6
E. 1: 2
OF. : 3

Answers

Answer:1 squad 3

2 squad 3 :6

Step-by-step explanation:

A 190-second song is divided into 3 parts, the beginning, the middle, and the end. The beginning is 1/6 as long as the end. The middle part is 1/2 as long as the end. Find the length of each part.

The beginning is ____ seconds
The middle is _____ seconds
The end is ______ seconds

Answers

Answer:

The beginning part is 19 seconds.

The middle part is 57 seconds.

The end part is 114 seconds.

Step-by-step explanation:

First, you have to form expressions. Let the end part be x :

Beginning = (1/6)x

Middle = (1/2)x

End = x

Next, you have to add up altogether equals to 190 :

(1/6)x + (1/2)x + x = 190

(5/3)x = 190

x = 190 ÷ (5/3)

x = 114 s

Lastly, you have to substitute the x-value into the expressions :

Beginning = (1/6)(114) = 19 s

Middle = (1/2)(114) = 57 s

End = 114 s

Answer:

b is 19 seconds

m is 57 seconds

e is 114 seconds

Step-by-step explanation:

total = b + m + e

total = 1/6e + 1/2e + e

190 = 1/6e + 1/2e + e

190 = 10/6e

190 * 3/5 = e

114 = e

(1/6)e = b = (1/6)(114) = 19

(1/2)e = m = (1/2)(114) = 57

To solve the problem -9 + 18 what is the first step?
a. KCO (keep change fli[p)
b. Subtract 18 - 9
c. Subtract 9 - 18
d. Add 9 + 18

Answers

Answer:

Step-by-step explanation:

Rewrite using i. Show your work.

Answers

5 answer: i(rad)3 -3

PLEASE HERRy i have to finish

Answers

I think it’s but I’m not sure E

Answer:

:)

Step-by-step explanation:

(11 points!) PLEASEEEEEEEEE Find the value of x for numbers 6,7,8,and 9 and please attach work or a good explanation thank you sm in advance!❤️

Answers

(6) 2xº = 86º  ==>  x = 43

(7) 108º = 3xº  ==>  x = 36

(8) 72º = 4xº  ==>  x = 18

(9) 111º = (x + 21)º  ==>  x = 90

Answer:

1.

2x=86

x=43

2.

3x=108

x=36

3.

4x=72

x=18

4.

x+21=111

x=90

Simplify the algebraic expression by combining like (or similar) terms.
5+9x+2

Answers

Answer:

7 + 9x

Step-by-step explanation:

add 5 and 2 and 9x doesn't have a like term so it stays the same

Answer:

9x + 7

Step-by-step explanation:

Like terms are terms that have the same variables and powers. Here, for 9x, there is no other term that is multiplied by x. So, the only terms we can combine is 2 and 5 which leaves us with 9x+7.

The midpoint of xy is located at the origin

Answers

Answer:

Is there supposed to be an image?

Step-by-step explanation:

1. Diane's Sweet Treats can make 24 cupcakes using 16 ounces of whipped
icing. How much icing is used on each cupcake?
a. 1/6 ounce of icing per cupcake.
b. 2/3 ounce of icing per cupcake.
c. 1/2 ounce of icing per cupcake.
d. 3/4 ounce of icing per cupcake.

Answers

Answer:

b. 2/3 ounce of icing per cupcake.

Step-by-step explanation:

 Given parameters:

       Number of cupcakes = 24 cupcakes

        Ounces of whipped icing = 16 ounces

Unknown:

How much icing was used in each cupcake  = ?

Solution:

 To find the number icing used per cupcake;

                             = [tex]\frac{number of ounces of whipped icing}{Number of cupckakes}[/tex]

  Input the parameters;

                              = [tex]\frac{16 ounce of icing }{24 cupcake}[/tex]

                             = [tex]\frac{2}{3}[/tex] ounce of icing per cupcake

Ns. Moore drove 200 miles in February. She drove 8 times as many miles in March as she did in January. How many mailed did Ms. Moore drive in March

Answers

Answer:

25

Step-by-step explanation:

200 divided by 8

Answer please ? Find the perimeter of the figure ( must include all sides )

Answers

Answer:

32 ft

Step-by-step explanation:

First we can add up all the sides we already know as perimeter is the sum of all the lengths of a shape. 9+6+3+4 = 22

There are two unknown side lengths in the diagram, the long one at the top, and the short one between the 3ft side and the 4ft side. Luckily these can be easily found using the given sides. Since this shape is rectangular in nature (all 90-degree angles), the top length is the same as the bottom length. We know the total bottom length to be 7ft (3+4) so the top length must be 7ft as well.

Similarly, all the vertical lengths on the right side must be equal to the 9ft length on the left side, therefore the unknown length is 3ft (9-6).

Adding on these two new lengths and our total perimeter is 22+7+3 = 32ft.

Hope this helped!

Which set of ordered pairs represents a function?
o{(1,3) (2,5) (4,9) (4, 13)}
o{(1,3) (1,5) (4, 9) (6,3)}
o {(1, 3) (2,5) (2, 9) (6, 13)}
O {(1,3) (2,5) (4, 9) (6,5)}

Answers

Answer:

The answer is D

Step-by-step explanation:

bob is on his way home in his car. he has driven 30 miles so far, which is three-fifths of the way home. what is the total length of his drive?​

Answers

The length of Bob's drive as a fraction = 5/5

Let the length of his total drive be = x

30 miles driven by Bob as a fraction =

= 3/5 of x = 30

= 3/5x = 30

= 5/x = 30 ÷ 3 ( transposing ×3 from LHS to RHS changes ×3 to ÷3 )

=5/x = 10

= x = 10 × 5 ( transposing ÷5 from LHS to RHS changes ÷5 to ×5 )

= x = 50

Now we have to see what is =

= 2/5 of 50

= 2/5 × 50

= 100/5

= 20 miles

So , total length of Bob's drive = 30 miles + 20 miles = 50 miles .

∴ The total length of Bob's drive is 50 miles .

$46.76 for 4 pounds. What is the price per pound?

Answers

9514 1404 393

Answer:

  $11.69 per pound

Step-by-step explanation:

To find price per pound, divide price by pounds:

  $46.76/(4 lb) = $11.69/lb

Pls help I don’t know how to do this.

Answers

Answer:

If they are across from each other the angles are the same so divide 81 by 3 and thats your x value, so its 27

what is the slope of this line -1/3, -2/3,2/3,1/3

Answers

Answer:

(-5,9),(3,0)

(0,1),(1,0)

(1,2),(3,4)

Step-by-step explanation:

I hope this helps!

Answer: It's 2/3

Step-by-step explanation:

x+12x-13 = 0 and azo, what
is the value x+lo?​

Answers

Wat this doesn’t make sense
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