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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.9, Problem 6E

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,

Now put the values of

The method of middle term factorisation is used in the equation

Now either

So

Here observed the equation of parabola, the coefficient of

The roots and the shape of parabola is cleared.

The graph of the function

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 upward.

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 with the help of graphing utility are as follows:

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

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’