contestada

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

Respuesta :

calculista

Answer:

Option A) −32

Step-by-step explanation:

we have

[tex]f(x)=2(4)^{x}+C[/tex]

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

[tex]0=2(4)^{2}+C[/tex]

[tex]0=2(16)+C[/tex]

[tex]0=32+C[/tex]

[tex]C=-32[/tex]

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