Quadratics - CH 9 Review

Vocab

100

Which direction does this parabola open? 

y=-x²+3x+10

Down

200

-b/2a is the formula for what? 

Axis of Symmetry

300

What is the vertex of the following function? 

y=3x²-12x+10

(2, -2)

400

Give another name for the solutions to a quadratic equation......

roots or x-intercepts

500

What is the quadratic formula?

The opposite of b, plus or minus, the square root of b squared minus four ac all divided by 2a. 

Solving Quadratics

100

Solve the following Quadratic Equation

x²-16=0

x=-4 and x=4

200

Solve the following Quadratic Equation

x²+7x+10=0

x=-5 and x=-2

300

Solve the following Quadratic Equation

x² + 3x - 40 = 0

x = -8 and x = 5

400

Solve the following Quadratic Equation

x² - 9x + 14 = 0

x = 7 & 2

500

Solve the following Quadratic Equation

2x²+5x-3=0

x=-3 and x=1/2

Axis of Symmetry and Vertex

100

What is the axis of symmetry? 

x² + 6x + 5

x = -3

200

What is the axis of symmetry? 

-x² + 3x + 4

x = 3/2

300

What is the vertex? 

x² + 4x + 4

(-2, 0) 

400

What is the vertex? 

x² - 81

(0, -81) 

500

Will the vertex be a maximum or minimum point for the following quadratic equation? 

-2x² + 4x - 10 = 0

maximum

Quadratic Formula

100

The denominator of the quadratic formula is _____? 

2a

200

The expression inside (or under) the square root in the quadratic formula is______? 

b² - 4ac

300

The quadratic formula is_________? 

The opposite of b, plus or minus, the square root of b squared take away 4ac all divided by 2a. 

400

Solve using the quadratic formula. 

x² - 4x -12

x  = -6 and 2

500

Solve using the quadratic formula.

x² + 8x + 15

x = -3 & -5