Question

1. Consider a function that of the form f(x)=ax^2+bx+c, where a≠0. (a) What is the name for a function of this form? (b) What is the shape of its graph called?

2. Convert the given form of the function into the other two forms. (a) Standard form: y=x^2-2x-3 (b) Vertex form: y-5=-2(x+1)^2 (c) Intercept form: y=(x+2)(x-3)

Answer 1

1.  f(x) is a quadratic function.

(b) The shape is called a parabola.