Question

what is f(-3) for the function f(a) = -2a² - 5a + 4?
○ -29
○ -23
○ 1
○ 37

Explanation:

Step1: Substitute \( a = -3 \) into the function

We have the function \( f(a) = -2a^2 - 5a + 4 \). Substitute \( a = -3 \) into it:
\( f(-3) = -2(-3)^2 - 5(-3) + 4 \)

Step2: Calculate the powers and multiplications

First, calculate \( (-3)^2 = 9 \). Then:
\( -2\times9 = -18 \)
\( -5\times(-3) = 15 \)

Step3: Combine the terms

Now, substitute these back into the expression:
\( f(-3) = -18 + 15 + 4 \)
First, \( -18 + 15 = -3 \), then \( -3 + 4 = 1 \)

Answer:

1