68.1k views
1 vote
The graph of y=√x is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph off(x)?$ 10-10-88 10 x

The graph of y=√x is reflected over the y-axis and then translated down 2 units to-example-1
User Tdurnford
by
7.4k points

1 Answer

1 vote
Step-by-step explanation

We must apply some transformations to the function:


y=g(x)=\sqrt[3]{x}.

(1) A reflection across the y-axis is given by the transformation:


g(x)\rightarrow h(x)=g(-x)=\sqrt[3]{-x}=-\sqrt[3]{x}.

(2) A translation down 2 units is given by the transformation:


h(x)\rightarrow f(x)=h(x)-2=-\sqrt[3]{x}-2.

Plotting the function f(x), we get the following graph:

Answer

The graph of y=√x is reflected over the y-axis and then translated down 2 units to-example-1
The graph of y=√x is reflected over the y-axis and then translated down 2 units to-example-2
User Argenkiwi
by
8.2k points

No related questions found

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

9.4m questions

12.2m answers

Categories