55.9k views
4 votes
Use transformations on the basic function listed below to write a rule

Use transformations on the basic function listed below to write a rule-example-1
Use transformations on the basic function listed below to write a rule-example-1
Use transformations on the basic function listed below to write a rule-example-2
User JakesMD
by
8.6k points

1 Answer

3 votes

Given:


f(x)=√(x)

Given the table:

x f(x)

0 0

1 1

4 2

9 3

16 4

Let's write a rule y = f(x) using the table after a transformation of the parent function.

Now, for the graph of the transformed function, we can produce the table, of values:

x g(x)

0 4

1 5

4 6

Now, let's compare both tables:

when x = 0; f(x) = 0, g(x) = f(x) + 4 = 0 + 4 = 4

when x = 1; f(x) = 1, g(x) = f(x) + 4 = 1 + 4 = 5

When x = 4; f(x) = 2, g(x) = f(x) + 4 = 2 + 4 = 6

This means there was a vertical translation 4 units up.

Therefore, the basic function that for the transformation will be: y = f(x) + 4


f(x)=√(x)+4

ANSWER:


f(x)=√(x)+4

User Yaniv De Ridder
by
7.1k 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