151k views
0 votes
The graph of y = f(x) is the solid black graph below. Which function represents the dotted

graph?
Answer

Y=f(x-1)+1
Y=f(x+1)-1
Y=f(x+1)+1
Y=f(x-1)-1

The graph of y = f(x) is the solid black graph below. Which function represents the-example-1

1 Answer

6 votes

The function represented by the dotted graph is y = |x +1| - 1.

The graph of an absolute function

The graph of an absolute value function expressed as f(x) = |x| has a V-shape structure when show on a graph. The absolute value function shows the distance of a number from zero on the line, as a result it's always non-negative.

The shape of the graph can either open:

  • Upward if f(x) = |x|
  • Downward if f(x) = -|x|

From the given graph, the parent function of the graph y = |x|. Now, the graph is shifted to the left by 1 unit, we have y = |x+1|, and downward by 1 unit i.e. y = |x +1| - 1.

Therefore, the function represented by the dotted graph is y = |x +1| - 1.

User Nadavy
by
8.3k 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