identify the graph for the equation. \n$y = 18(2)^x$

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $y = 18(2)^x$: $y = 18(2)^0 = 18(1) = 18$

Step2: Match intercept to graphs

The y-intercept is 18, so the graph crosses the y-axis at $(0,18)$. Compare to the options:

• First graph: crosses at ~12
• Second graph: crosses at ~12
• Third graph: crosses at ~18

Step3: Verify growth trend

For $x=1$, $y=18(2)^1=36$, which matches the third graph's upward curve through $(1,36)$.

Answer:

The third graph (rightmost one, crossing the y-axis at 18 and rising steeply)