Question

PLS HELP IF SOMEONE KNOWS THE ANSWER!!!!!!!!!!

Answer 1

5 units

Explanation:

Here are the answers to the questions in the image:

The function f(x)=2x+3 when horizontally translated 5 units to the right becomes f(x)=2(x−5)+3.

The parent function f(x)=2x when horizontally stretched by a factor of 3 becomes f(x)=2(3x​).

The function g(x)=3x2−12x+12 when vertically compressed by a factor of 2 becomes g(x)=21​(3x2−12x+12).

The function h(x)=2x+3 when vertically stretched by a factor of 4 becomes h(x)=4(2x+3).

When a function is translated 5 units to the right, each point on the function moves 5 units to the right. So, the function f(x)=2x+3 when horizontally translated 5 units to the right becomes f(x)=2(x−5)+3. This means that for a given value of x, the output of the function will now be the same as the output of the original function at a point 5 units to the left.

Answer 2

see below.

Explanation:

1. g(x) = 2^(x-5) +3

2. g(x)= 1/3 * 2^x

3. f(x) was vertically stretched by 3. K value is 3. The Y intercept became augmented by 3 folds.

4. k value = 5, the curve basically got "lifted" up by 5 units.