Question

Evaluate this expression x = 4:
4 • (x - 2)^2 - 9

A 20
B -20
C 7
D -7

Answer 1

To evaluate the expression \( 4 \cdot (x - 2)^2 - 9 \) for \( x = 4 \), follow these steps:

1. Substitute \( x \) with 4 in the expression:
\[
x - 2 = 4 - 2 = 2
\]

2. Now, evaluate \( (x - 2)^2 \):
\[
(x - 2)^2 = 2^2 = 4
\]

3. Multiply this result by 4:
\[
4 \cdot (x - 2)^2 = 4 \cdot 4 = 16
\]

4. Finally, subtract 9 from this result:
\[
16 - 9 = 7
\]

Thus, the value of the expression is \( 7 \).

The correct answer is **C 7**.