Question

Select the correct answer from the drop-down menu. f(x) = |x| and g(x) = |x| + 3 The transformation applied to get the graph of g(x) from the graph of f(x) is

Answer 1

Answer:

Translation up 3 units

Step-by-step explanation:

Adding 3 to every value a function produces puts it 3 units above the original function value. The translation is 3 units upward.

Answer 2

Answer:

a vertical transformation of 3 units upward

Step-by-step explanation:

Vertical shift:

Suppose f is a function and k is a positive number.

To graph y = f(x)+k, shift the graph y =f(x) up k units by adding k to the y-coordinates of the point on the graph of f.

As per the statement:

Given the function:

f(x) = |x| and

g(x) = |x| + 3

or

g(x) = f(x)+3

by definition of above:

The transformation applied to get the graph of g(x) from the graph of f(x) is,  a vertical transformation of 3 units upward