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Select the function that's represented in the graph:

Question 13 options:

f(x) = –(x + 4)2 + 2


f(x) = (x – 4)2 + 2


f(x) = –(x – 4)2 + 2


f(x) = (x + 4)2 + 2

Select the function thats represented in the graph Question 13 options fx x 42 2 fx x 42 2 fx x 42 2 fx x 42 2 class=

Respuesta :

Answer:

f(x) = - (x + 4)² + 2

Step-by-step explanation:

the equation of a parabola in vertex form is

f(x) = a(x - h)² + k

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

here vertex (h, k ) = (- 4, 2 ) , then

f(x) = a(x - (- 4) )² + 2 , that is

f(x) = a(x + 4)² + 2

to find a, substitute the coordinates of any other point on the graph into f(x)

using the point (- 2, - 2 ) , then

- 2 = a(- 2 + 4)² + 2 ( subtract 2 from both sides )

- 4 = a(2)² = 4a ( divide both sides by 4 )

- 1 = a

Then

f(x) = - (x + 4)² + 2

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