Question

1. consider the function $f(x) = -4x^2 - 8x + 15$. determine $f(-2)$. $f(-2) = $ enter your next step here

Explanation:

Step1: Substitute \( x = -2 \) into \( f(x) \)

We have the function \( f(x) = -4x^2 - 8x + 15 \). Substitute \( x = -2 \) into the function:
\( f(-2) = -4(-2)^2 - 8(-2) + 15 \)

Step2: Calculate each term

First, calculate \( (-2)^2 = 4 \), so \( -4(-2)^2 = -4 \times 4 = -16 \).
Next, calculate \( -8(-2) = 16 \).
Now we have \( f(-2) = -16 + 16 + 15 \).

Step3: Simplify the expression

Simplify \( -16 + 16 = 0 \), then \( 0 + 15 = 15 \).

Answer:

\( 15 \)