Question

the graph of the function f is shown in the xyplane above the function f is define by f(x)=mx+b,where m and b are constant which of the following could be the graph of the function where g(x)=-mx-b?​

Answer 1

Answer:

Option (C)

Step-by-step explanation:

We will apply the rules of transformations in this question.

Parent function of the given line in the graph is,

f(x) = mx

If the function is f'(x) = -mx

Then the line will be inverted of reflected across the x-axis.

If the function is g(x) = -mx - b

Then the line representing function g(x) = -mx will be shifted b units downwards, similar to the graph given in Option (C).