Write the equation of the parabola in vertex form. vertex (3, -2), point (2, 3)

y = 5(x - 3)² - 2

Step-by-step explanation:

Vertex form: y = a(x - h)² + k  where (h,k) is the vertex and "a" is the vertical stretch

Given (h, k) = (3, -2) and (x, y) = (2, 3), we can find the a-value.

3 = a(2 - 3)² - 2

3 = a(1) - 2

+2          +2

5 = a

Next, input the vertex and the a-value into the vertex equation.

y = 5(x - 3)² - 2