question 8(multiple choice worth 1 points) (sinusoidal function transformations mc) function g(x) is an…

question 8(multiple choice worth 1 points) (sinusoidal function transformations mc) function g(x) is an image of function f(x) = cos x in the xy - plane. function g is a phase shift right 5 units. which one of the following could define g(x)? g(x)=cos x - 5 g(x)=cos(x - 5) g(x)=cos x + 5 g(x)=cos(x + 5)

question 8(multiple choice worth 1 points) (sinusoidal function transformations mc) function g(x) is an image of function f(x) = cos x in the xy - plane. function g is a phase shift right 5 units. which one of the following could define g(x)? g(x)=cos x - 5 g(x)=cos(x - 5) g(x)=cos x + 5 g(x)=cos(x + 5)

Answer

Explanation:

Step1: Recall phase - shift rule

For a function $y = f(x)$, a phase - shift of $h$ units to the right is given by $y = f(x - h)$.

Step2: Apply rule to cosine function

Given $f(x)=\cos x$ and a phase - shift of 5 units to the right. Substitute $h = 5$ into the phase - shift formula. We get $g(x)=\cos(x - 5)$.

Answer:

B. $g(x)=\cos(x - 5)$