Question

1. Given a vertex of (3, 1) and a 2nd point of (0,7), which equation below could

be used to find the a-value?
A. 7 = a(0 - 3)² + 1
B. 7 = a(1 - 3)² + 0
C. 0 = a(7 - 3)2 + 1
D. 0 = a(1 - 3)2 + 7

Answer 1

A

Explanation:

The equation of a parabola is

y = a(x - h)² + k

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

Here (h, k) = (3, 1), thus

y = a(x - 3)² + 1

To find a substitute (0, 7) into the equation

7 = a(0 - 3)² + 1 → A