Question

Which of the following represents the graph of f(x) = 4x + 2?

A graph of exponential rising up to the right, through the point 0, negative 3
B graph of exponential rising up to the right, through the point 0, 0
C graph of exponential rising up to the right, through the point 0, 1
D graph of exponential rising up to the right, through the point 0, 3

Answer 1

"D" graph of the exponential rising up to the right, through the point 0,3

Answer 2

See attachment

Explanation:

We want to choose the graph that represents:

`y = {4}^(x) + 2`

The parent function is

`y = {4}^(x)`

This is an exponential function that grows, and has y intercept at 1.

The graph is asymptotic to the negative x-axis.

The transformed graph is obtained by shifting this graph up by 2 units.

It's y-intercept will now be at 3.

The graph is shown in attachment.