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WILL GIVE THE BRAINLIEST
A graph of a quadratic function is shown. Use the graph for questions 1 through 4.
1. Use the graph to determine the value of for the function.
2. Write the equation of the parabola in vertex form.
3. Convert the vertex form of the parabola to standard form.
4. Use standard form of the parabola to identify the y-intercept of the function.
5. The factored form of a quadratic function is represented by () = 2(―4)(―6).
Write the equation in standard form.

For questions 6 through 9, a graph and table of values for () are shown.
6. Use the table or the graph to determine the value of for the function.
7. Write the equation in vertex form.
8. Write the equation in factored form.
9. Write the equation in standard form.
10. The function () is represented by () = 2(+ 3)^2 +4. Rewrite the function in
standard form.

WILL GIVE THE BRAINLIEST A Graph Of A Quadratic Function Is Shown Use The Graph For Questions 1 Through 4 1 Use The Graph To Determine The Value Of For The Func class=
WILL GIVE THE BRAINLIEST A Graph Of A Quadratic Function Is Shown Use The Graph For Questions 1 Through 4 1 Use The Graph To Determine The Value Of For The Func class=

Sagot :

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Graph A

How to find the roots of the the function

The points where the graph intercepts the x-axis is the root of the function.

from the graph the points are 3.9 and 6.1

How to write the equation of the parabola in vertex form

The vertex v is at v ( 5, -4 ) this is equivalent to v ( h, k )

the equation of parabola in vertex form is y = a ( x- h )^2 + k

y = a ( x - 5 )^2 + {-4)

substituting point ( 4, -1 ) from the graph we have:

-1 = a ( 4 - 5 )^2 - 4

-1 = a - 4

a = 3

substituting the known values to y = a ( x- h ) + k

y = 3 ( x - 5 )^2 - 4

How to write the equation of the parabola in factored form

y = 3 ( x - 5) ( x - 5 ) - 4

How to write the equation of the parabola in standard form

y = 3 ( x - 5) ( x - 5 ) - 4

y = 3 ( x^2 - 10x + 25 ) - 4

y = 3x^2 - 30x + 75 - 4

y = 3x^2 - 30x + 71

Graph B

How to find the roots of the the function

The points where the graph intercepts the x-axis is the root of the function.

from the graph the points are 2 and 4

How to write the equation of the parabola in vertex form

The vertex v is at v ( 3, 2 ) this is equivalent to v ( h, k )

the equation of parabola in vertex form is y = a ( x- h )^2 + k

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

substituting point ( 0, -16 ) from the graph we have:

-16 = a ( 0 - 3 )^2 + 2

-16 = a - 9 + 2

-16 = a - 7

a = -9

substituting the known values to y = a ( x- h ) + k

y = -9 ( x - 3 )^2 + 2

How to write the equation of the parabola in factored form

y = -9 ( x - 3) ( x - 3 ) + 2

How to write the equation of the parabola in standard form

y = -9 ( x - 3) ( x - 3 ) + 2

y = -9 ( x^2 - 6x + 9 ) - 4

y = 3x^2 - 54x - 81 - 4

y = 3x^2 - 54x - 85

Read more on parabolic equations here: https://brainly.com/question/2956567

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