Question

Which function is graphed on the right?

Answer 1

Answer: $y=2^{x-2}+3$

Step-by-step explanation:

To find the equation from a graphed function, you can substitute points into each equation to find the original:

A point on the graph is (2, 4). Substituting this into each equation, we get:

$4=2^{2+3} -2$, which claims that 4 is equal to 30, which is incorrect.

$4=2^{2-3} +2$, which claims that 4 is equal to 3/2, which is incorrect.

$4=2^{2-2}+3$, which claims that 4 is equal to 4, which is correct.

We can test the third function further by taking another point on the graph, (3, 5), and substituting it into the function:

$5=2^{3-2} +3$, which claims that 5 is equal to 5, which is correct.