Question

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.

Answer 1

A

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

Answer 2

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.