Question

Show that each function is a quadratic function by writing it in the form

f(x) = ax² + bx+c and Identify a, b, and c.

1. h(x) = 2(x + 1)(3x – 4)

Answer 1

h(x) = 2x² - 2x - 8

Explanation:

Step 1: Write out equation

h(x) = 2(x + 1)(3x - 4)

Step 2: FOIL

h(x) = 2(x² - 4x + 3x - 4)

Step 3: Combine like terms (x)

h(x) = 2(x² - x - 4)

Step 4: Distribute

h(x) = 2x² - 2x - 8