Question

Given the parent function f(x) = 3x, which graph shows f(x) + 2?

a. exponential function going through point 0, 1 and ending up on the right
b. exponential function going through point 0, negative 1 and ending up on the right
c. exponential function going through point 0, 5 and ending up on the right
d. exponential function going through point 0, 3 and ending up on the right

Answer 1

The parent function is an exponential function f ( x ) = 3^x.
And f ( x ) + 2 = 3^x + 2.
When x = 0:
3^0 + 2 = 1 + 2 = 3
Therefore, the graph passes through the point ( 0, 3 ).
Answer:
d. Exponential function going through point ( 0, 3 ) and ending up on the right.