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.

The graph is shifted 3 units left.

The graph is shifted 2 units up.

Step-by-step 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.