124k views
4 votes
20 POINTS Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g. Select ALL of the correct answers.

reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit

shift right 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3

shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3

shift down 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3

shift left 2 units, reflect over the x-axis, and then vertically stretch by a factor of 3

reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit

20 POINTS Determine which sequences of transformations could be applied to the parent-example-1

2 Answers

1 vote
The correct sequences of transformations to obtain the graph of \( g \) from the parent function \( f(x) = x \) are:

1. **Reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit**
2. **Reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit**
3 votes

Answer:

- reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit

- shift down 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3

Explanation:

-This sequence of transformations would reflect the graph of f(x) = x over the x-axis, vertically stretch it by a factor of 3, and then shift it down 1 unit. This transformation sequence would truly produce the graph of g.

-This sequence of transformations would shift the graph of f(x) = x down 1 unit, reflect it over the x-axis, and then vertically stretch it by a factor of 3. This transformation sequence would truly produce the graph of g.

glad to help.

User Carpii
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.