61.1k views
4 votes
What is the graph of y=f(x-4)+1

User Marguerite
by
8.7k points

1 Answer

2 votes

The original function is

y = f(x)

The new function is

y = f(x - 4) + 1

This is a modulus function. It is a function that gives the absolute value of a number. Thus, We can write the original function as

y = IxI

Since the graph is pointing downwards, it means that it was reflected over the horizontal axis. Thus, the parent function is

y = - IxI

Recall, if a function, f(x) is shifted c units to the right, the new function would be f(x - c). Thus, y = Ix - 4I means that the function was shifted 4 units to the right.

Also, if a function, f(x) is shifted d units upwards, the new function would be f(x) + d. Thus,

y = Ix - 4I + 1 means that the function was shifted 1 unit upward. Thus, the graph of

y = f(x - 4) + 1 = Ix - 4I + 1 is shown below

What is the graph of y=f(x-4)+1-example-1
User Simon Zuckerbraun
by
8.0k 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