Answer: [tex]y=2^{x-2}+3[/tex]
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:
[tex]4=2^{2+3} -2[/tex], which claims that 4 is equal to 30, which is incorrect.
[tex]4=2^{2-3} +2[/tex], which claims that 4 is equal to 3/2, which is incorrect.
[tex]4=2^{2-2}+3[/tex], 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:
[tex]5=2^{3-2} +3[/tex], which claims that 5 is equal to 5, which is correct.
