Question

Describe how y = f(x) is transformed by each of the

Answer 1

Using translation concepts, it is found that the transformations are as follows:

• In y = -f(x÷2) - 5, the function is reflected over the x-axis, horizontally stretched by a factor of 2 and shifted 5 units down.

• In y = f(-x) + 5, the function is reflected over the y-axis and shifted 5 units up.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In y = -f(x÷2)-5, we have that:

• f(x) is multiplied by -1, hence it was reflected over the x-axis.

• x is divided by two inside the domain, hence the function was horizontally stretched by a factor of 2.

• 5 is subtracted from f(x), hence the function was shifted 5 units down.

In y = f(-x) + 5, we have that:

• x is multiplied by -1 inside the domain, hence the function was reflected over the y-axis.

• 5 is added to f(x), hence the function was shifted 5 units up.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1