Question

Which equation has a graph that is a parabola with a vertex at (5,3)?

A.) y = (x-5)^2+3
B.) y = (x+5)^2+3
C.) y = (x-3)^2+5
D.) y = (x+3)^2+5

Answer 1

y = (x -5)² + 3.

Explanation:

Given : parabola with a vertex at (5,3).

To find : Which equation has a graph that is a parabola.

Solution : We have given vertex at (5,3).

Vertex form of parabola : y = (x -h)² + k .

Where, (h ,k ) vertex .

Plug h = 5 , k= 3 in vertex form of parabola.

Equation :y = (x -5)² + 3.

Therefore, y = (x -5)² + 3.