graph the function f(x)=ax2+bx+c. could the factors of f(x) be (x+2) and (x-3)? based on the graph, explain why or why not.

Question

graph the function f(x)=ax2+bx+c.

could the factors of f(x) be (x+2) and (x-3)? based on the graph, explain why or why not.

Answer 1

The standard form of the parabola is ax²+bx+c. This places no restrictions on the factors.

If the factors were (x+2) and (x-3), the graph of the parabola would travel through the points (-2.0) and (3,0).