
Concept explainers
To graph: The

Explanation of Solution
Given information:
The quadratic equation
Graph:
The graph of the quadratic equation
Consider the quadratic equation,
Now put the values of
Solve the equation
The quadratic formula is:
Now solve the equation
Find the value of
The value of
Thus, the value of:
Substitute the values of
The quadratic formula is:
Either the value
When the value
When the value
So
Here observed the equation of parabola, the coefficient of
The roots and the shape of parabola is cleared.
The graph of the equation
Substitute
Substitute
Substitute
Observe that as the value of
Steps to plot the graph of the equation
Step 1: Press
Step 2: Use the down arrow key to reach
Step 3: Press
Step 4: Press
Step 5: Enter the function
Step 6: Press
For better view of graph.
Step 8: Press
The result obtained on the screen is provided below,
Interpretation:
The equation of the function
The parabola opens downward.
The
Therefore, in the equation,
Therefore, the equation
a.
When the
Steps to plot the graph of the equation
Step 1: Press
Step 2: Use the down arrow key to reach
Step 3: Press
Step 4: Press
Step 5: Enter the function
Step 6: Press
For better view of graph.
Step 8: Press
The result obtained on the screen is provided below,
This window is not perfect viewing window.
b.
When the
Steps to plot the graph of the equation
Step 1: Press
Step 2: Use the down arrow key to reach
Step 3: Press
Step 4: Press
Step 5: Enter the function
Step 6: Press
For better view of graph.
Step 8: Press
The result obtained on the screen is provided below,
This window is not a perfect viewing window.
c.
When the
Steps to plot the graph of the equation
Step 1: Press
Step 2: Use the down arrow key to reach
Step 3: Press
Step 4: Press
Step 5: Enter the function
Step 6: Press
For better view of graph.
Step 8: Press
The result obtained on the screen is provided below,
This is the perfect viewing window.
d.
When the
Steps to plot the graph of the equation
Step 1: Press
Step 2: Use the down arrow key to reach
Step 3: Press
Step 4: Press
Step 5: Enter the function
Step 6: Press
For better view of graph.
Step 8: Press
The result obtained on the screen is provided below,
This window has large view, in this the graph points are not clear.
So perfect viewing window of the graph
Thus, option ‘c’
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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