9.4 - 9.5 Review

Vocabulary / Questions

100

What is the standard form of a quadratic equation? 

ax² + bx + c = 0

200

What is a in this equation? 

x² + 15x - 7 = 0 

1 

300

A u shaped graph is called a ...

parabola 

400

Which value must be added to the expression to make it a perfect square trinomial?

x² + 6x

9

500

Name the three ways to solve a quadratic equation. 

Factoring 

Completing the Square

Quadratic Formula

Completing the square

100

What is the first step when completing the square?

Find half of the coefficient of x

200

How do you complete the square for an expression of the form 

x² + bx ? 

Add (b/2)² to the expression

300

Complete the square for the expression. Then factor the trinomial. 

x² - 10x 

x² - 10x + 25 = (x - 5)²

400

Solve the quadratic equation by completing the square. 

x² - 6x + 8 = 0

x = 4 and x = 2

500

Solve the quadratic equation by completing the square: 

2x² + 20x - 8 = 0 

x = - 5 + sqrt (29) and x = - 5 - sqrt (29)

The minimum or maximum value

100

For a quadratic equation, when a is negative the graph opens up or down and does it have a minimum or maximum value? 

y = -ax² + bx + c

The graph opens down and it has a maximum value. 

200

For a quadratic equation, when a is positive the graph opens up or down and does it have a minimum or maximum value? 

y = ax² + bx + c

The graph opens up and it has a minimum value. 

300

What is the first step to find the minimum or maximum of a quadratic equation? 

Use x = - b / 2a 

400

Find the minimum or maximum value. 

y = x² - 6x + 8

Vertex ( 3, -1) The minimum value is -1. 

500

Find the minimum or maximum value. 

y = -x² +10x -16 

Fill in the blanks. 

The vertex is ( ____ , ____ ). Because a = ____      ( positive / negative ), the parabola opens ( up / down ) and the function has the (maximum / minimum) value ______ (y).

The vertex is ( 5 , 9 ). Because a = -1  ( negative ), the parabola opens ( down ) and the function has the (maximum) value 9 (y).

Quadratic Formula

100

What is the quadratic formula?

x = -b +- sqrt (b² -4ac) / (2a)

200

Substitute the values into the quadratic formula. 

x²+6x+5=0

x = - (6) +- sqrt ( (6)² - 4(1) (5)) / (2(1))

300

Solve the following quadratic equation using the quadratic formula:

 x² + 5x + 6 = 0

x = -2 and x =-3

400

Solve the following quadratic equation using the quadratic formula: 

x²  - 9x + 20 = 0

x = 5 and x = 4

500

Solve the following quadratic equation using the quadratic formula: 

2x² - 10x + 12 = 0

x = 3 and x = 2

Random

100

Does Ms. Hernandez have a twin sister?

Yes

200

How do you input square root into the calculator? 

Press 2nd 

Then x²

300

What university did Ms. Hernandez graduate from? 

UNLV

400

When is your quiz? 

B day - Friday April 17

A day - Monday April 20

500

What Jonas Brother is Ms. Hernandez's favorite? 

Joe Jonas