Question

PLS ANSWER CORRECTLY

The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.

A. The axis of symmetry is the line x = 6.
B. The vertex of the graph is at (–6, –11).
C. The parabola has a minimum.
D. The parabola opens down.
E. The value of h, when the equation is written in vertex form, is positive.

Answer 1

A, D, E

Explanation:

f(x) = –3x2 + 36x – 119 written in

vertex form is f(x) = –3(x – 6)2 – 11

Vertex form is y = a(x - h)² + k

vertex is (h,k) which is (6, -11)

• axis of symmetry x = 6

• where a = -3 because a<0, the parabola opens down.

• value of h = 6 as the vertex on the x coordinate

Answer 2

A. The axis of symmetry is the line x = 6.

D. The parabola opens down.

E. The value of h, when the equation is written in vertex form, is positive.

Explanation:

f(x) = –3(x – 6)^2 – 11.

This is in vertex form

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

where ( h,k) is the vertex

(6,-11) is the vertex, so line line of symmetry is x=6

a =-3 so the parabola opens down and it has a maximum

The value of h is 6, which is the x coordinate of the vertex