QuestionJuly 15, 2025

5. Given f(x)=-3x^2+10 what is the value of f(-2) A. -26 B. -2 C. 22 D. 46

5. Given f(x)=-3x^2+10 what is the value of f(-2) A. -26 B. -2 C. 22 D. 46
5. Given f(x)=-3x^2+10 what is the value of
f(-2)
A. -26
B. -2
C. 22
D. 46

Solution
4.0(253 votes)

Answer

B. -2 Explanation 1. Substitute x = -2 into f(x) Replace x with -2 in the function: f(-2) = -3(-2)^2 + 10. 2. Calculate (-2)^2 (-2)^2 = 4. 3. Multiply by -3 -3 \times 4 = -12. 4. Add 10 -12 + 10 = -2.

Explanation

1. Substitute $x = -2$ into $f(x)$<br /> Replace $x$ with $-2$ in the function: $f(-2) = -3(-2)^2 + 10$.<br />2. Calculate $(-2)^2$<br /> $(-2)^2 = 4$.<br />3. Multiply by $-3$<br /> $-3 \times 4 = -12$.<br />4. Add 10<br /> $-12 + 10 = -2$.
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