Given the function \( f(x) = -4x + 3 \), we need to find \( 3f(a) \).

First, substitute \( a \) into the function \( f(x) \) to get \( f(a) \):

\[
f(a) = -4a + 3
\]

Now, multiply this result by 3:

\[
3f(a) = 3 \times (-4a + 3)
\]

Distribute the 3:

\[
3f(a) = -12a + 9
\]

So, \( 3f(a) = -12a + 9 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you evaluate \( 3f(a) \) if \( a \) were a specific number?
2. What is the slope of the line represented by \( f(x) = -4x + 3 \)?
3. How does the function \( f(x) = -4x + 3 \) change when multiplied by 3?
4. What is the y-intercept of the function \( f(x) = -4x + 3 \)?
5. How do you graph the function \( f(x) = -4x + 3 \)?

**Tip:** When scaling a linear function by a constant, multiply both the slope and the y-intercept by that constant to get the new function.

Explore how to calculate 3f(a) for the function f(x) = -4x + 3. This problem involves substituting a value into a linear function and performing multiplication operations. Suitable for students in Grades 7-9.

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