Question

Which function results after applying the sequence of transformation in this order to f(x)=x⁵, Stretch vertically by 3; reflect across the x-axis; shift right 1unit; shift up 2 units?

Answer 1

Using translation concepts, it is found that the resulting function is given by: $f(x) = -3(x - 1)^5 + 2$.

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 this problem, the function is:

$f(x) = x^5$

The transformations are as follows:

• Stretch vertically by a factor of 3, hence $f(x) = 3x^5$.

• Reflect across the x-axis, hence $f(x) = -3x^5$

• Shift right 1 unit, hence $f(x) = -3(x - 1)^5$.

• Shift up 2 units, hence $f(x) = -3(x - 1)^5 + 2$.

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

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