Quadratics Review

Vocab

100

The lowest point on a graph.

What is minimum?

200

The shape of a quadratic equation.

What is a parabola?

300

Turning point, either the minimum or maximum on a parabola.

What is a vertex?

400

The line of symmetry that goes through a parabola.

What is the axis of symmetry?

500

The point where a graph crosses the y-axis.

What is the y-intercept?

Stories

100

The following equation represents the path of a donut hole being thrown by Mr. London where x represents the time (in seconds) the donut is in the air and y represents the height (in feet) of the donut. 

y=-x²+x

What is the maximum height of the donut?

4 feet

200

The following equation represents the path of a donut hole being thrown by Mr. London where x represents the time (in seconds) the donut is in the air and y represents the height (in feet) of the donut. 

y=-x²+x

At what time does the donut reach its maximum height?

2 seconds

300

The formula for throwing a baseball in the air is represented by h = – 16t² + 12t + 40 where h is the height of the ball. After how many seconds will the ball hit the ground?

2 seconds

400

A ball is thrown into the air with an initial upward velocity of 48 ft/s. It height h in feet after t seconds is given by the function h (t) = – 16t² + 48t + 4.

What height will the ball be when 2 seconds has passed?  

36 feet

500

The equation y = x² – 12x + 45 models the number of books y sold in a bookstore x days after an award winning author appeared at an autograph-signing reception. What was the first day that at least 100 copies of the book were sold?

The 16th day.

Solve

100

Find the zeros for the equation: x²+4x+3=0

-3 and -1

200

Find the zeros for the equation: x²-4x+3

1 and 3

300

Find the zeros for the equation: -3x²+3x+7=7

0 and 1

400

Find the zeros for the equation: 3x²+13x= -12

-3 and -1.33

500

Find the zeros for the equation: 2x²+7x+8=0

No real solutions

Multiply Polynomials

100

4x(2x+1)

8x²+4x

200

3x(5x²+2x-3)

15x³+6x²-9x

300

(x+2)(x-4)

x²-2x-8

400

(4x-2)(7x-5)

28x²-34x+10

500

(2x+5)(x²+5x-7)

2x³+15x²+11x-35

Mystery

100

What is my name?

Mr. Engel

200

Name as many words you can for the spot where a parabola crosses the x-axis.

Roots, x-intercepts, solutions, zeros

300

Order the following graphs from widest to narrowest.

y=1/7x², y=1/2x², y=1/4x²

y=1/7x², y=1/4x², y=1/2x²

400

Is there a maximum or minimum in the graph below? What is the value?

y=2x²+4x-8

Minimum at -10

500

What is the axis of symmetry of the following graph?

y=2x²+4x-8

x=-1