Question

Which of the following equations is of a parabola with a vertex at (3, 0)?

Oy=x^2+3
o y=x^2-3
Oy= (x+3)^ 2
y=(x-3)^ 2

Answer 1

D. y = (x - 3)²

Explanation:

The parabola formula in vertex form is:

y = a(x - h)² + k

where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:

y = a(x - 3)² + 0

y = a(x - 3)²

In all possible options the leading coefficient a is equal to one. Therefore:

y = (x - 3)²