Question

If y = f(x) = 2(4)x + c, find the value of "c" that results in a graph with x-intercept at (2, 0).

A) −32
B) −8
C) 32
D) 8

Answer 1

Option A) −32

Explanation:

we have

`f(x)=2(4)^(x)+C`

we know that

For x=2, f(x)=0 ----> given problem

so

substitute the value of x and the value of f(x) in the function above and solve for C

`0=2(4)^(2)+C`

`0=2(16)+C`

`0=32+C`

`C=-32`