Question

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

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

Select each correct answer.

Answer 1

B and C

Explanation:

There are two ways of looking at this question. You can do it algebraically or you can make a graph that will give you the answer visually.

Graph

I'll try to do both. First the graph. (See below)

• The red line is f(x)
• The blue line is g(x)

The graph tells us that the line is shifted

• 2 units up (blue is above red) and
• 3 units to the left (blue is to the left of red)

Algebra.

g(x) = 2^[(x - 1) + 3] + 3 (+ 2)

The rewrite shows that +3 means left. +2 means up.