Question

Which function is shown in the graph below?

On a coordinate plane, an exponential function curve is level at y = 3 in quadrant 2, and then increases into quadrant 1. It crosses the y-axis at (0, 7).
y = 2 Superscript x minus 2 Baseline + 3
y = 2 Superscript x + 2 Baseline + 3
y = 2 Superscript x minus 3 Baseline + 2
y = 2 Superscript x + 3 Baseline + 2

Answer 1

y = 2^{x+2} + 3

Reason: The horizontal asymptote y = 3 means the graph is y = 2^{...} + 3. The y‑intercept (0,7) gives 2^{0+?}+3 = 7 ⇒ 2^{?} = 4 ⇒ ? = 2. So y = 2^{x+2} + 3.