Question

Let f(x)=7^x and g(x)=7^x+2-4. Which transformations are needed to transform f(x) to the graph g(x)?

Answer 1

Answer:

4. vertical translation 4 units down

6. horizontal translation 2 units to the right

Step-by-step explanation:

Given $f(x)=7^x$ and $g(x)=7^{x+2}-4$

1. Adding 2 to x means horizontal translation 2 units to the right.

2. Subtracting 4 from the function $7^{x+2}$ means vertical translation 4 units down.

So, to transform the graph of the function f(x) to the graph of the function g(x), you need to translate the graph of the function f(x) horizontally 2 units to the right and vertically 4 units down.