Question

Which of the following equations is of a parabola with a vertex at (4, 0)

y = x2 + 4
y = ( x - 4) 2
y = x2 - 4
y = ( x + 4) 2

Answer 1

y = (x - 4)²

Explanation:

the parent function y = x² has its vertex at (0, 0 )

the graph of y = (x - 4)² is the graph of y = x² translated horizontally by 4 units.

• a shift of 4 units is a shift to the left

• a shift 0f - 4 units is a shift to the right

Then

a vertex at (4, 0 ) has equation y = (x - 4)²