Question

write an equation for each graph.
7)
8)

Explanation:

Step1: Identify parent function (Graph7)

The graph is an exponential growth curve, matching $y=2^x$.

Step2: Verify points (Graph7)

Check $x=0$: $2^0=1$ (matches graph point $(0,1)$); $x=2$: $2^2=4$ (matches $(2,4)$); $x=3$: $2^3=8$; $x=4$: $2^4=16$ (matches plotted points).

Step3: Identify parent function (Graph8)

The graph is a shifted exponential curve, starting from below x-axis.

Step4: Test shifted form (Graph8)

Test $y=2^x - 2$: $x=0$: $2^0-2=1-2=-1$ (matches $(0,-1)$); $x=1$: $2^1-2=0$ (matches $(1,0)$); $x=2$: $2^2-2=2$; $x=3$: $2^3-2=6$ (matches plotted points).

Answer:

1. $\boldsymbol{y=2^x}$
2. $\boldsymbol{y=2^x - 2}$