Given the parent function f(x) = 2^x, which graph shows f(x) + 1?
a) exponential function going through point 0, 2 and ending up on the right
b) exponential function going through point 0, 0 and ending down on the right
c) exponential function going through point 0, 0 and ending up on the right
d) exponential function going through point 0, 1.5 and ending up on the right

First Option

a) exponential function going through point (0, 2) and ending up on the right

Step-by-step explanation:

Look at the attached image, the red line represents a function of the form:

Note that this function cuts to the axis and at the point (0, 1)

Also when x tends to ∞ f(x) tends to ∞ and when f(x) tends to -∞ then f(x) tends to zero.

If we perform the transformation then the graph of y is equal to the graph of f(x) displaced 1 unit up. Then the new cutting point with the axis y will be: (0, 2) as shown in the attached image (blue line)

The transform function is

Finally the answer is the first option

the answer is 489

step-by-step explanation: