Question

The parent function is f(x)=2x−1+3 and the new function is g(x)=2x+2+5 .

How does the graph change from f(x) to g(x) ?

Select each correct answer.




The graph is shifted 3 units right.

The graph is shifted 3 units left.

The graph is shifted 2 units down.

The graph is shifted 2 units up.

Answer 1

3 units left

2 units up

Explanation:

Answer 2

The graph is shifted 3 units left.

The graph is shifted 2 units up.

Explanation:

When functions are transformed there are a few simple rules:

• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).

• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).

• Multiplying the function by a number less than 1 compresses it towards the x-axis.

• Multiplying the function by a number greater than 1 stretches it away from the x-axis.