Answered

Write an equation that represents a vertical stretch by a factor of 3 and a reflection in the x-axis of the graph of g(x)=|x|.

Answer :

anisabremner2

Answer:

(x,y) ---> (3x,3y) 3 units reflected on the x-axis

Using translation concepts, it is found that the function is:

[tex]f(x) = -3|x|[/tex]

The parent function is:

[tex]g(x) = |x|[/tex]

Vertically stretching a function by a factor of a is the same as multiplying by a. In this problem, it is vertically stretched by a factor of 3, thus it is multiplied by 3, that is:

[tex]f(x) = 3g(x) = 3|x|[/tex]

Reflection over the x-axis means that the function is multiplied by -1, thus:

[tex]f(x) = -3g(x) = -3|x|[/tex]

A similar problem is given at https://brainly.com/question/16645456

Other Questions