Answer:
vertex = (0, -4)
equation of the parabola:
Step-by-step explanation:
Given:
- y-intercept of parabola: -4
- parabola passes through points: (-2, 8) and (1, -1)
Vertex form of a parabola:
(where (h, k) is the vertex and is some constant)
Substitute point (0, -4) into the equation:
Substitute point (-2, 8) and into the equation:
Substitute point (1, -1) and into the equation:
Equate to find h:
Substitute found value of h into one of the equations to find a:
Substitute found values of h and a to find k:
Therefore, the equation of the parabola in vertex form is:
So the vertex of the parabola is (0, -4)
