Functions f and g are graphed in the same rectangular coordinate system. If g is obtained from f through a sequence of transformations, find an equation for g. (Graph given on the link)

illusiia

illusiia

Answered question

2020-11-22

Functions f and g are graphed in the same rectangular coordinate system. If g is obtained from f through a sequence of transformations, find an equation for g.
(Graph given on the link)

Answer & Explanation

lobeflepnoumni

lobeflepnoumni

Skilled2020-11-23Added 99 answers

Given:
The graph of f(x)=sqrt(16x2)
To determine :
The equation of transformed graph shown in the given figure.
The parent graph of f(x)=sqrt(16x2).
Since the graph is shifted vertically down by 1 unit.
Therefore, the equation becomes,
f(x)=sqrt(16x2)1
Also, the graph is a reflected graph in the x - axis . Hence we have
f(x)=sqrt(16x2)1
Now, the graph is has a vertical compression by 4 units.
Therefore, the transformed graph is f(x)=1/4sqrt(16x2)1
image

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school geometry

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?