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Graphing Quadratic Functions

Use your graphing calculator to help you determine the number and type of solutions to the Quadratic

Equation 2x² - 10 = 8x

1. Begin by putting the equation into standard form.

2. Graph the function on your calculator. [Hint: Use the following window on your graphing

calculator: Xmin = -6, Xmax = 10, Ymin = -23, Ymax = 5]

3. IF your solutions are real number solutions, use the graphing INTERSECT method to find them.

4. Draw the parabola neatly below by plotting the highest (or lowest) point and one other point.

5. Place a point on the graph at each of the Horizontal Intercepts, if any

6. Below the graph, identify the number of Real Solutions and identify those solutions

Graph the function and plot the Horizontal Intercepts:

ŝ Use your graphing calculator to help you determine the number and type of solutions to the Quadratic

Equation 2x2 - 10 - 8x

1. Begin by putting the equation into standard form.

2. Graph the function on your calculator. [Hint: Use the following window on your graphing

calculator: Xmin = -6, Xmax = 10, Ymin = -23, Ymax = 5]

3. IF your solutions are real number solutions, use the graphing INTERSECT method to find them.

4. Draw the parabola neatly below by plotting the highest (or lowest) point and one other point.

5. Place a point on the graph at each of the Horizontal Intercepts, if any

6. Below the graph, identify the number of Real Solutions and identify those solutions

Graph the function and plot the Horizontal Intercepts:

-10

-12-

-13

-14

-16

-18

-19

-20-

-21

-22-

8

9

10 -8

-9

-20

-12-

-13

-14-

-15-

-16

-18

-19

-20

-21

-22+

-23-

Clear All Draw:

Identify the number of Real Solutions (0, 1 or 2):

Identify the Real Solutions rounded to two decimal places: x =

[Hint: If two solutions exist, enter the answer as a, b. If only one solution exists, enter a. If none exist,

enter DNE. Question 3

Let 1 =

Solve the quadratic equation -5x² 20x = 0 by using the Quadratic Formula. Write

your answers in Exact Form and in Approximate Form (Rounded to three decimal places

as needed). Note that in some cases, the Exact Form and the Approximate Form may be

the same.

x1 =

-b-√b² - 4ac

x1 =

2a

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Exact Form

II.

DE

Solving Quadratic Equations

Note: If only one solution exists, x2 will equal DNE

-5x² 20x = 0

Dvd

and x2=

Approximate Form

=

-b+ √b² - 4ac

2a

x2 =

x2 =

Exact Form

Approximate Form Question 4

Solving Quadratic Equations

Solve the quadratic equation 4x2 +25=-20x by using the Quadratic Formula. Write

your answers in Exact Form and in Approximate Form (Rounded to three decimal places

as needed). Note that in some cases, the Exact Form and the Approximate Form may be

the same.

Let x1 =

x1 =

-b-√b² - 4ac

x1 =

2a

Note: If only one solution exists, x2 will equal DNE

4x² + 25 = -20x

2a

Question Help:

and 2

Exact Form

Approximate Form

=

-b+√b² - 4ac

Video Message instructor

x2 =

x2 =

Exact Form

Approximate Form