Answer:
Step-by-step explanation:
The vertex form:
- f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola and a- the leading coefficient
We have on the graph:
Substitute into equation:
- f(x) = a(x - (-3))² + 12 = a(x + 3)² + 12
Use the point (0, 3) to find the value of a:
- 3 = a(0 + 3)² + 12
- 3 = 9a + 12
- 9a = 3 - 12
- 9a = - 9
- a = -1
So the function is:
