Question

What does the graph of Ax)=-(x-3)* +11 look like?

A. opens downward with a vertex of (3, 11)
B. opens downward with a vertex of (-3, 11)
C. opens upward with a vertex of (3, 11)
D. opens upward with a vertex of (-3, 11)

Answer 1

A. opens downward; vertex (3, 11)

Explanation:

The leading coefficient is negative (-1), so we know the parabola opens downward.

The vertex in the form ...

A(x) = a(x -h)² +k

is (h, k). Comparing to the given equation, we find (h, k) = (3, 11).

The vertex is (3, 11).