Question

select the correct answer.
what is the y-intercept of $f(x) = 3^{x + 2}$?
a. $(9,0)$
b. $(0,9)$
c. $(0,-9)$
d. $(9,-9)$

Explanation:

Step1: Set x=0 for y-intercept

To find the y-intercept, substitute $x=0$ into $f(x)=3^{x+2}$.

Step2: Calculate exponent value

Compute the exponent: $0+2=2$

Step3: Evaluate the exponential term

Calculate $3^2 = 9$. The y-intercept is the point $(0, f(0))$.

Answer:

B. (0,9)