Describe how the graph of g (x) is related to the parent function f (x).

f (x) = 5x

g (x) = 5x + 3

The options are

A) Adding 3 to the function translates the parent graph 3 units up.

B) Adding 3 to the function translates the parent graph 3 units down.

C) Adding 3 to the function translates the parent graph 3 units to the left.

D) Adding 3 to the function translates the parent graph 3 units to the right.

Question

Melendez

Mathematics

12 May, 07:27

Describe how the graph of g (x) is related to the parent function f (x).

f (x) = 5x

g (x) = 5x + 3

The options are

A) Adding 3 to the function translates the parent graph 3 units up.

B) Adding 3 to the function translates the parent graph 3 units down.

C) Adding 3 to the function translates the parent graph 3 units to the left.

D) Adding 3 to the function translates the parent graph 3 units to the right.

+1

Answers (2)

Know the Answer?

Jaydan Chaney · Answer 1

A

Step-by-step explanation:

we have g (x) = 5x+3

we know that 5x=f (x)

so g (x) = f (x) + 3

thus g (x) is obtained by adding 3 units to f (x)

that's means the graph of g is obtained by translating the parent function f by 3 units up

Harley Baldwin · Answer 2

Step-by-step explanation:

There are two functions f (x) = 5x and g (x) = 5x + 3

This parent function f (x) has been translated to form a new function g (x) = 5x + 3

These linear functions can be represented by two lines y = 5x and y' = 5x' + 3

So when we shift line y = 5x by 3 units up on the y-axis then a new graph of

y = 5x + 3 will be formed.

Therefore, Option A is the answer.