Question

What are the x- and y-intercepts of the quadratic equation y = (x - 1)2 - 16? Identify the x-intercepts by graphing the quadratic equation.

Answer 1

well start by expanding and collecting like terms

\[y = x^2 - 2x + 1 - 16\]

so

\[y = x^2 -2x - 15\]

the y intercept occurs when x = 0... so substitute x = 0 and evaluate

the x intercept is who y = 0 so you need to solve

\[0=x^2 -2x - 15\]

which can be factored.

hope this helps