Given f(x) = 3(x − 4)2

Question

𝑓
(
𝑥
)

=

3
(
𝑥

−

4
)
2
what is f(3)?

Show your work below

(1 point)
f(3)=
𝑓
(
3
)
=
(3)=3(3−4)2 Substitute in for x

f(3)=
𝑓
(
3
)
=
(3)=3(−1)2 Simplify the parenthesis

f(3)=
𝑓
(
3
)
=
(3)=3(1) Square the parenthesis

f(3)=
𝑓
(
3
)
=
3 Multiply

Answer 1

To find \( f(3) \) for the function \( f(x) = 3(x - 4)^2 \), we follow these steps:

1. Substitute \( x = 3 \) into the function: \[ f(3) = 3(3 - 4)^2 \]

2. Calculate the expression in the parentheses: \[ 3 - 4 = -1 \] Now we have: \[ f(3) = 3(-1)^2 \]

3. Square the result: \[ (-1)^2 = 1 \] So now we have: \[ f(3) = 3(1) \]

4. Multiply: \[ f(3) = 3 \]

Thus, the final answer is: \[ \boxed{3} \]