To translate the function \( f(x) = -9x + 3 \) one unit up, you add 1 to the entire function. This is because a vertical translation involves adjusting the output (or y-value) of the function.

The new function will be:

\[
f(x) = -9x + 3 + 1
\]

Simplifying:

\[
f(x) = -9x + 4
\]

So, the function after a translation of 1 unit up is \( f(x) = -9x + 4 \).

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you translate a function vertically by any number of units?
2. What happens when you translate a function horizontally instead of vertically?
3. How does the slope of a linear function affect its graph?
4. What is the difference between translating a function up and down?
5. How do you find the y-intercept of a linear function like \( f(x) = -9x + 4 \)?

**Tip:** Translating a function vertically doesn't change its slope, only its position on the y-axis.

translation 1 unit up of f(x) = –9x + 3

Learn how to perform a vertical translation of the linear function f(x) = –9x + 3 by 1 unit up. This problem demonstrates the concept of vertical translations in algebra, specifically applying it to linear functions. Suitable for students in Grades 8-10.

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