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PLEASE ANSWER!!

A quadratic function is shown on the graph.

A. Write an equation to represent the function in vertex form.

B. Write an equation to represent the function in standard form.

PLEASE ANSWER A Quadratic Function Is Shown On The Graph A Write An Equation To Represent The Function In Vertex Form B Write An Equation To Represent The Funct class=

Sagot :

Answer:

see explanation

Step-by-step explanation:

A

the equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (1, - 4 ) , then

y = a(x - 1)² - 4

to find a substitute the coordinates of any other point on the graph into the equation.

using (0, - 3 )

- 3 = a(0 - 1)² - 4 ( add 4 to both sides )

1 = a(- 1)² = a ⇒ a = 1

y = (x - 1)² - 4 ← in vertex form

B

the equation of a quadratic in standard form is

y = ax² + bx + c ( a ≠ 0 )

using the result from A

y = (x - 1)² - 4 ← expand the factor using FOIL

  = x² - 2x + 1 - 4

y = x² - 2x - 3 ← in standard form

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