# Algebra 222 week 4 Test п»їAlgebra 222 week 4 To discover

CLOSE WINDOWВ

Week 5: Quadratic Equations and Functions, Date Posted: 10/26/2014 1 ) Finding the root base of a quadratic equation with leading agent 1 Fix forВ

.

=+y2в€’3y40

If there is more than one option, separate associated with commas. If there is no answer, click on " No answer. "

=yв€’В 4, you

2 . Locating the roots of a quadratic formula with leading coefficient greater than 1 Solve forВ

sixth is v

.

=2v2+3v2

If you have more than one answer, separate these commas. When there is no option, click on " No answer. "

=vв€’В 2, -1/2

3. Completing the sq .

Fill in the blank to help make the expression aВ perfect square.

+в€’w26wВ

You clarified correctly:

+в€’w26wВ 9

2x2 -- 7x+1=0

xВ =7+пѓ–41/4, 7-пѓ–/41/4

Employ theВ quadratic formulaВ to solve forВ

x

.

2x2-7x-1=0

You responded correctly:

xВ =7+пѓ–41/4, 7-пѓ–41/4

a few. Writing a quadratic formula given the roots as well as the leading coefficient Write theВ quadraticВ equation whoseВ rootsВ areВ

в€’1

andВ

3

, and in whose leadingВ coefficientВ isВ

a couple of

.

(Use the letterВ

back button

to represent theВ variable. )

2x2в€’4x-6=0

6. Discriminant of a quadratic formula

Compute the value of theВ discriminantВ and supply the number ofВ realВ solutions of theВ quadratic equation. =+в€’2x2в€’2x30

You solved correctly:

DiscriminantВ

=в€’20

Quantity of real solutionsВ

=0

several. Graphing a parabola from the form con = ax2

Graph theВ parabola.

=yв€’34x2

To graph the parabola, storyline theВ vertexВ and several additional details, two on each of your side from the vertex. After that click on the graph icon.

The proper answer is: -2, zero, +2

back button

-2

-4

-6

-8

2

5

6

8

y

-2

-4

-6

-8

two

4

six

8

almost 8. Graphing a parabola with the form con = (x-a)2В + c

Chart theВ parabola.

=y++x125

To graph the parabola, plot the vertex and 4 additional factors, two to each side of the vertex. Then simply click on the chart icon.

The proper answer is usually: Y several -3, con 6вЂ”2, con -1 through 6 and up y7 times

-2

-4

-6

-8

2

four

6

almost 8

y

-2

-4

-6

-8

a couple of

4

six

8

being unfaithful. Solving a quadratic inequality written in factored contact form

Graph the answer to the followingВ inequalityВ on theВ number range. -11

0

1

a couple of

3

5

5

6

7

almost 8

9

10

11

10. Finding the optimum or minimum of a quadratic function

=gxв€’2x2в€’4x1

Does the function have a minimum or maximum value?

Lowest

Maximum

What is the function's minimum or perhaps maximum worth?

Where does the minimum or perhaps maximum benefit occur?

=x

You solved correctly:

Will the function have a minimum or maximum benefit?

Minimum

Maximum

What is the function's bare minimum or optimum value?

в€’3

Where does the minimum or maximum value occur?

=x1

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