Which equation matches the graph shown?

Which Equation Matches The Graph Shown?

Answers

Answer 1

Answer:

Vertex form:  y = -2(x - 1)²

Standard form: y = -2x² + 4x - 2

Step-by-step explanation:

Given the x-intercept as the vertex, (1, 0), and the y-intercept, (0, -2) as the two points on the graph of a parabola:

We can determine the equation by substituting these given values into the vertex form of the quadratic equation:

y = a(x - h)² + k

where:

a = determines the direction of where the graph opens, and the wideness or narrowness of the parabola.

(h, k) = vertex

Solve for the value of a:

Use vertex: (1, 0) and y-intercept, (0, -2):

y = a(x - h)² + k

-2 = a(0 - 1)² + 0

-2 = a(-1)²

-2 = a(1)

-2 = a

Quadratic Equation:Vertex form:

The quadratic equation in vertex form that matches the graph is:

y = -2(x - 1)² + 0 or  y = -2(x - 1)² This is the quadratic equation in vertex form.

Standard form:

To transform the vertex form into the standard form, y = ax² + bx + c:

Simply expand the perfect square, (x - 1)², through FOIL method before distributing -2:

y = -2(x - 1)²

y = -2(x - 1)(x - 1)

y = -2(x² -2x + 1)

y = -2x² + 4x - 2 ⇒ This is the quadratic equation in standard form.  


Related Questions

Help please I really don’t understand SOS Due today

Answers

Answer:

Step-by-step explanation:

28 > 6x - 2

28 + 2 > 6x - 2 + 2

30 > 6x

5 > x or x < 5

The local softball field has a lemonade stand. The graph shows the amount that of money in the cash register of the lemonade stand

1. What is the y-intercept?

2.What dose the y-coordinate of the y-intercept of the function represent

3. What is the slope

4What dose the slope of the function represent

Answers

Answer:

Cant tell you without data

Step-by-step explanation:

x m 1,5 m and 1,5 m

Answers

☆Answer :

x² = (1,5)² + (1,5)²

x² = 2,25 + 2,25

x² = 4,5

x = 2,1m

[tex]\bold{\underline{Solution : -}}[/tex]

[tex]\sf a^2 + b^2 = c^2[/tex]

[tex]\sf x^2 = (1.5)^2 + (1.5)^2 [/tex]

[tex]\sf x^2 = 2.25 + 2.25 [/tex]

[tex]\sf x^2 = 4.5 [/tex]

[tex]\sf x = \sqrt{4.5} \approx 2.1[/tex]

In a survey of 2,600 people who owned a certain type of​ car, 1,820 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

70%

Step-by-step explanation:

is/of =x/100

How do I solve this question? The wording is confusing to me

Answers

Step-by-step explanation:

Use Pythagarus theorem

17^2=15^2 +x^2

289= 225 + x^2

64=x^2

x = 8 m

7990 was rounded to the nearest ten. What is the lower bound?

Answers

Here we will tell you what 7990 is rounded to the nearest ten and also show you what rules we used to get to the answer.

Remember, we did not necessarily round up or down, but to the ten that is nearest to 7990.

First, 7990 rounded to the nearest ten is:

7990

Divide 31.50 / 2.50 step by step. Write is out on paper if you can. :D

Answers

Answer:

12.6 you divide 31.50 by 2.50 pretend the decimal signs aren't there.

what is the first step in solving problem using GMDAS?

Answers

Answer:

D

Step-by-step explanation:

Gemdas-this means grouping

exponent, multiplication, Division,addition,

and subtraction order of operations

Sana tama HAHAHAHA

1. f(x) = x2
• vertex :
• opening of the graph :
• vertex is a ______ point
• equation of axis of symmetry (x=h) :
• range (y≥k) :​

Answers

Answer:

Step-by-step explanation:

f(x) = x²

1. Vertex ( 0 ,0)

2) a > 0 , opening upward

3) minimum

4) Axis of symmetry : x = 0

5) Range:  y ≥ 0  

Work out the surface of the solid cuboid.
8m
6m
2m
The diagram is not drawn to scale

Answers

Answer:

8 * 6 * 2 = 96

Step-by-step explanation:

It's a multiplication problem. 8 * 6 = 48 * 2 = 96

The rectangular prism is 96m.

Explain why 15 +1/2n
is an algebraic
expression.

Answers

Answer:

Because there is a variable and no equal sign

Step-by-step explanation:

Answer each question below.
18.
(16)
ZW and ZY are supplementary. If m

Answers

Is there anymore words?

Answer:

I'm not answering but i can help you :)

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180°.

The two angles of a linear pair, like ∠1  and  ∠2 in the figure below, are always supplementary.

But, two angles need not be adjacent to be supplementary. In the next figure, ∠3  and  ∠4 are supplementary, because their measures add to 180°.

Example 1:

Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.

Let the measure of one of the supplementary angles be a .

Measure of the other angle is 2 times a.

So, measure of the other angle is 2a.

If the sum of the measures of two angles is 180°, then the angles are supplementary.

So, a+2a=180°

Simplify.

3a=180°

To isolate a, divide both sides of the equation by 3.

3a3=180°3    a=60°

The measure of the second angle is,

2a=2×60°       =120°

So, the measures of the two supplementary angles are 60° and 120°.

Example 2:

Find m∠P  and  m∠Q if ∠P  and  ∠Q are supplementary, m∠P=2x+15, and m∠Q=5x−38.

The sum of the measures of two supplementary angles is 180°.

So, m∠P+m∠Q=180°

Substitute 2x+15 for m∠P and 5x−38 for m∠Q.

2x+15+5x−38=180°

Combine the like terms. We get:

7x−23=180°

Add 23 to both sides. We get:

7x=203°

Divide both sides by 7.

7x7=203°7

Simplify.

x=29°

To find m∠P, substitute 29 for x in 2x+15.

2(29)+15=58+15

Simplify.

58+15=73

So, m∠P=73°.

To find m∠Q, substitute 29 for x in 5x−38.

5(29)−38=145−38

Simplify.

145−38=107

So, m∠Q=107°.

Please help



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:$):’jfidifkvk

Answers

Answer:

For the question a i think its b

Step-by-step explanation:

The school is 100 meters from Miguel's house.
The following describes the most recent trip.
He walked 75 meters towards school in 3
min. Miguel realized that he left his iPad at
home.
• He tumed around and walked home at the
same speed.
He spent 5 min. looking for his iPad.
• Then he walked all the way to school at 50
meters per minute.
Use the graph tool to create a graph that accurately
represents Miguel's walk.
yeah

Answers

Answer:

i don't knoe if we can do it without the graph

PLEASE HELP ME……………..

Answers

Answer: chrome

Step-by-step explanation: go to a new tab then search it up.

Please help me! Im making the first correct answer brainliest!

Answers

Answer:

You didn't ask a question.

Step-by-step explanation:

Please help and no links, thanks:) that would be nice

Answers

Answer:

4(x + 9) = 3

Step-by-step explanation:

Since it says four times the sum of a number and 9, we would use the distributive property: 4(x + 9), in simplified form, it equals to 4x + 36.

Answer:

4(x9)=3

Step-by-step explanation:

Consider a graph of the equation y = −3x + 4. What is the y-intercept? 4 −4 3 −3

Answers

Answer:

The y-intercept is 4

Step-by-step explanation:

in y=mx+b, the b will always be your y-intercept

Graph the system of linear equations.
-1/2y = 4x + 5 and y = 2x +2.

Answers

Hope this helps You

Answer:

The graph is shown below.

Step-by-step explanation:

-1/2y = 4x + 5

This is the same as y = -2x - 2.5

The graph is shown below

In one week, a bakery made 1,424 trays of 25 chocolate chip cookies. The bakery also baked 628
trays of 19 sugar cookies. How many cookies did the bakery bake during the week? ")

Answers

Answer:
The bakery baked 11,932 sugar cookies.
Explanation:
628 trays x 19 cookies = 11,932 cookies

They also baked 35,600 chocolate chip cookies. The total of BOTH cookies baked is 47,532. Hope this helped! ^^

help me with this math work please

Answers

1) +200
2) +5
3) -3 degrees C
4) 21 degrees C
5) +150
6) -3 degrees C
7) 25
8) +6
(positive signs are not required)


BRAINLIEST PLEASE


[tex]\{ x - ( \frac { x } { 5 } + 60 ) \} = \{ ( \frac { 4 } { 5 } ) x - 60 \}[/tex]
help plssssssss

Answers

If you are asking for the value of x, then x = not defined because dividing a value by 0 will always give you a non-defined answer. So, x can be equal to any number (there can be infinite values).

Next, if you want to prove that both the statements are true, then yes it's true because RHS = LHS = 0.

Check the 2 attachments for the steps.

______

RainbowSalt2222 ☔

Answer:

infinite number of solutions

Step-by-step explanation:

x - ([tex]\frac{x}{5}[/tex] + 60) = [tex]\frac{4}{5}[/tex] x - 60 ← distribute parenthesis on left by - 1

x - [tex]\frac{x}{5}[/tex] - 60 = [tex]\frac{4}{5}[/tex] x - 60 , collect like terms on left side

[tex]\frac{4}{5}[/tex] x - 60 = [tex]\frac{4}{5}[/tex] x - 60

Since expressions on both sides are equal then any value of x is a solution.

That is there is an infinite number of solutions

In a skiing competition. Jen finishes in 13.524 seconds, Ali finishes in 13.51
seconds and Sofia finishes in 13.5 seconds. Who finished first?

Answers

Answer:

Sofia at 13.5 seconds

Step-by-step explanation:

These numbers aren't easily compared since they don't have the same number of digits.  Sofia's time of 13.5 seconds is less than that of the other two times, 13.524 and 13.51 seconds, but the lack of a zero after the 5 in Sofia's time is concerning.  If the other times were measured toi within a hundredth of a second, why not Sofia's time also?  Perhps her true time was 13.56 seconds, but the 0.05 was dropped.  She would be slower than the other two.  But, in the absence of helpful information, the only thing that can be said is that Sofia's time is reported to be less than either Jen and Ali.

Define the sample space, S, of a fair coin being tossed once.

S=

A. {H, T}

B. {H, H}

C. {T, T}​

Answers

Answer:

S = { H,T }

Step-by-step explanation:

Sample space is these two outcomes

If 2x-3y=3 find 16^x/64^y

a. 4
b. 8
c. 16
d. 64

Answers

Answer:

D. 64

Step-by-step explanation:

Did you mean: if 2x−3y=3 what is 16x64y? That fraction equals 42x−3y, so the answer would be 43, which is 64.

D. 64

Express as a product of primes: dfrac24x26y2 x -3 y =3 simplify

Help asap please I need help

Answers

Answer:

the equations is y=x+3-1

Step-by-step explanation:

volume of a cube with 7,5 cm

Answers

Answer:

421.88

Step-by-step explanation:

7.5^3=421.88

Weather report, pls help me y’all i don’t wanna fail this class i beg you plss

Answers

Answer:

1

Step-by-step explanation:

How many minutes is 6:45 to 9:25 ?

Answers

Answer:

It is 15 minutes from 6:45 to 7:00. From 7:00 to 9:25 it is 2 hours and 25 minutes. Note: one hour is 60 minutes.

15 + 60(2) + 25

15 + 120 + 25

160 minutes

:)

how can i Find the volume of the following cylinder that the Radius of 1 cm Height of 8 cm

Answers

Answer:

Okay first you need to use the formula: V=[tex]\pi r^{2} *h[/tex]

All you need to do is plug in those numbers.

Like this: V= [tex]\pi *1^{2}*8[/tex]

which is = 25.13 [tex]cm^{3}[/tex]

Ta-da!! lol. Have a great day!

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