Question

Find x-intercepts and vertex, then sketch graph of f(x)=x2-8x+12

Answer 1

x-intercepts:
x²-8x +12 = 0
D = 16 - 12 = 4
x₁ = 6, x₂ = 2.

Vertex: x = -b/2a = 8/2 = 4, y(4) = -4, so the vertex has coordinates (4,-4).