Question

The vertex of the graph of y = -4(x + 3)2 + 2 is

(____,____)

Answer 1

Answer: The vertex is (-3, 2)

The equation y = -4(x + 3)^2 + 2 can be written as y = -4(x - (-3))^2 + 2

I rewrote x+3 as x - (-3)

Compare y = -4(x - (-3))^2 + 2 with the general template y = a(x-h)^2 + k

Note how

a = -4

h = -3

k = 2

So the vertex is (h,k) = (-3, 2)

Answer 2

The vertex of the graph of y = -4(x + 3)2 + 2 is (-3, 2)

Explanation:

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

Comparing with the form y=a(x-h)^2+k, where the vertex is the point V=(h,k):

-h=3→h=-3

k=2

V=(h,k)→V=(-3,2)