Question

Which of the following equations is of a parabola with a vertex at (0, 6)?

y = ( x + 6) 2
y = ( x - 6) 2
y = x2 + 6
y = x2 - 6

Answer 1

y = x² + 6

Explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6) , let a = 1 , then

y = (x - 0)² + 6 , that is

y = x² + 6