Answer:
y = x² - 8x + 18
Step-by-step explanation:
The minimum value occurs at the vertex, thus the y- coordinate of the vertex is 2
The axis of symmetry is vertical and passes through the vertex , thus the x- coordinate of the vertex is 4
The vertex of the quadratic is therefore (4, 2 )
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier.
let a = 1, then
y = (x - 4)² + 2 ← expand (x - 4)² using FOIL
= x² - 8x + 16 + 2
y = x² - 8x + 18 ← is a possible equation
