Question

What is the y-intercept for the graph of the equation y=4(3^x)

A. (0,8)
B. (0,3)
C. (0,4)
D. (0,12)

Answer 1

C. (0,4)

Step-by-step explanation

The given graph has equation:

`y = 4( {3}^(x) )`

The y-intercept is where the graph touches the y-axis.

At this point the value of x is zero.

We substitute x=0 into the equation to obtain:

`y = 4( {3}^(0) )`

Recall that any non-zero number exponent zero is 1.

This implies that,

`y = 4( 1 ) = 4`

Hence the y-intercept is (0,4)

The correct answer is C.