Question

Consider what you know about the relative locations of the vertex and x-intercepts of the graph of a quadratic function. Describe in detail how the quadratic formula defines these points algebraically.

Answer 1

Hello,

the relative locations of the vertex is (a,b)
and x-intercepts is x₀

y=k(x-a)+b
and
0=k(x₀-a)+b==>k=-b/(x₀-a)

==>y=-b/(x₀-a)*(x-a)+b