Answer:
Correct answer: D. y = - x² + 4 x - 4
Step-by-step explanation:
Given:
Vertex (2, 0) = (α, β)
y-intercept (0, -4) = (x, y)
Vertex form of quadratic equation is:
y = a (x - α)² + β
We will first replace the given coordinates of the vertex
y = a · (x - 2)² + 0 = a · (x - 2)²
y = a · (x - 2)²
we will now replace the coordinates of the y-intercept:
- 4 = a · (0 - 2)² = a · 4 ⇒ a = - 4 / 4 = - 1
a = - 1
Finally we get
y = - (x - 2)² = - x² + 4 x - 4
y = - x² + 4 x - 4
God is with you!!!
