Question

Help Pre-Calc

Random answers will be reported.

Use this to find the answer :
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 :

A) A vertical transformation of 3 units upward

B) A vertical transformation of 3 units downward

C) A horizontal transformation of 3 units to the left

D) A horizontal transformation of 3 units to the right

Answer 1

Choice "A) A vertical transformation of 3 units upward" is correct.

Explanation:

Given functions are f(x) = |x| and g(x) = |x| + 3

Now question is asking about what transformation is applied to get g(x) from f(x).

To find that transformation, compare both functions f(x) = |x| and g(x) = |x| +3.

We see that only difference is of +3.

Remember that when any number say "k" is added to f(x) then f(x)+k results in vertical transformation of "k" units upward.

So "A) A vertical transformation of 3 units upward" will be correct choice.