Answer:
f(x) = ⁵/₈(x+2)² - 13
Step-by-step explanation:
Vertex form of the equation of a quadratic function with vertex (h,k):
f(x) = a(x - h)² + k
To find a we need to put the point and the vertex into this equation:
3 = a(-6 + 2)² - 13
10 = a(-4)²
16a = 10
a = ⁵/₈
Therefore, vertex form of the quadratic function:
f(x) = ⁵/₈(x+2)² - 13
