Question

A quadratic function f is defined by f (x) = (2+6) (x – 8).

1. Without graphing, identify the x-intercepts of the graph of f. Explain how you know.

2. Expand (x + 6) (2 - 8) and use the expanded form to identify the y-intercept of the graph of f. Show your work and explain how you know.​

Answer 1

1. The x-intercepts can be determined by taking the opposite of the constants, in this case the x-ints are -6 and +8.

2. (x+6)(x-8) = x^2+-2x-48, the y-intercept is -48