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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.9, Problem 10E

To determine

**To graph**: The quadratic equation

Expert Solution

**Given information**:

The quadratic equation

**Graph**:

The graph of the quadratic equation

Consider the quadratic equation,

Rewrite the given equation by square both sides:

Add both side of the equation

As the observation says this equation is an semicircle equation.

Either

Hence

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 equation has a semicircle graph.

The

The equation of circle is

The center of circle is either

Thus

Thus

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

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 not the perfect viewing window.

d.

When the

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 the perfect viewing window.

So the perfect viewing window of the graph

The perfect viewing window is