Given the parent function p(x) = cos x, which
phrase best describes the transformation used
to obtain the graph of g(x) = cos (x + a) – b,
if a and b are positive constants?

Respuesta :

Answer: left a units, down b units

Step-by-step explanation:

The phrase which describe g(x) for parents function p(x) is:

" Graph shifts a units in negative x direction and b units in negative y direction"

What is Shifting of Origin?

The shifted origin has the coordinates (h, k). That is, the shifted X and Y axes are at distances h and k from the original X and Y axes respectively.

Here, general equation

y = cos ( x - h ) + k

where, h and k are points which shows the shifting of function on x and y axes.

On comparing general equation with given equation g(x)

so we get h = -a and k = -b.

Thus, the phrase which describe g(x) for parents function p(x) is:

" Graph shifts a units in negative x direction and b units in negative y direction".

Learn more about Shifting of origin from:

https://brainly.com/question/8829300

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