Question

What change below do you have to make to the graph of f (x) = 7^x in order to graph the function g (x) = 7^(x+10)?

1. none of these

2. Shift the graph to the left 10 units.

3. Shift the graph to the right 7 units.

4. Shift the graph to the right 10 units.

5. Shift the graph to the left 7 units.

Answer 1

2

Explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then shift left by a units

• If a < 0 then shift right by a units

Here f(x) =
`7^(x)`, thus

g(x) =
`7^((x+10))` represents a shift to the left of 10 units