mkieonna16 mkieonna16

Today at 7:03 AM
Mathematics

Answered

Let the function f(x) have the form f(x) = Acos(x-C). To produce a graph that
matches the one shown below, what must the value of A be?

Let the function f(x) have the form f(x) = Acos(x-C). To produce a graph that matches the one shown below, what must the value of A be? class=

Answer :

mberisso mberisso

Today at 7:08 AM

Answer:

A has to be 2

Step-by-step explanation:

In the expression [tex]f(x)=A*cos(x-C)[/tex], the multiplicative factor A represents what is called the "amplitude of the wave-shaped function that you obtain as the graph. Such amplitude is understood as half of the crest-to-through distance of the wavy curve.

From the drawing, the crest is at y=2 and the through at y=-2 (a distance of 4 units) therefore the value of A should be half of that distance: 4/2 = 2

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