Answer:
Step-by-step explanation:
<u>Factored form of a quadratic function</u>
where:
- p and q are the x-intercepts
- a is some constant
Given x-intercepts:
- (0, 0)
- (4, 0)
Therefore:
To find a, substitute the given vertex (2, -8) into the equation and solve for a:
Therefore, the function's equation in factored form is:
<u>Vertex form of a quadratic equation</u>
<u />
where:
- (h, k) is the vertex
- a is some constant
Given:
- vertex = (2, -8)
Therefore:
To find the constant a, substitute one of the x-intercepts into the equation and solve for a:
Therefore, the function's equation in vertex form is: