Concept explainers
a.
To find:Vertex of the graph.
a.
Answer to Problem 14PFA
Vertex =
Explanation of Solution
Given information:
Graph of given equation is
From the graph the slope changes at the point
Hence the vertex of the graph is
In general, the graph of absolute value function
b.
To find:Translation of given equation relating to graph of
b.
Answer to Problem 14PFA
Function
Explanation of Solution
Given information:
Concept:
A Translation is a movement of the graph either horizontally parallel to x-axis or vertically parallel to y-axis.
The graph of
If
If
If
If
If
If
If
If
If
If
If
If
If
If
From given information
From above concept
If
If
If
Since
From above concept
If
If
If
Since
From above concept
If
If
If
Since
c.
To find:Piecewise function of
c.
Answer to Problem 14PFA
Explanation of Solution
Given information:
For
Therefore
We get
For
Therefore
We get
Therefore
Chapter 3 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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