Question

The graph of which equation has a vertex of (3, 0)?

y = (x + 3)2

y = (x – 3)2 + 3

y = 2(x + 3)2

y = 2(x – 3)2

Answer 1

Vertex form of quadratic equation with vertex at (h, k)

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

Now replace h with 3 and k with 0

y = a (x - 3)^2 + 0
y = a (x - 3)^2

The only equation that matches this is the last one:

y = 2 (x - 3)^2

Answer 2

y = 2(x – 3)^2
because then x = 3 and y = 0, so (3,0)

Answer 3

thank you both