Chapter 2 and 3 Quadratic Functions Review

Quadratic Graphs and their Properties

100

A graph shows a quadratic function opening down, what is the value of "a".

What is negative?

200

The quadratic function y=5x²+10x-2 has a y-intercept of...

What is -2 ?

300

Order the following quadratic functions in order from narrowest to widest:

A. y=4x² 

B. y=12x²

C. y=11x² 

D. y=2x²

What is B, C, A, D?

400

Order the quadratic functions from widest to narrowest. 

A. y=4x² 

B.  y=2/3x^2 

C. y=2x² 

D.  y=2/5x^2 

What is D, B, C, A?

500

Create a table to represent the graph y = 5x² from x=-2 to x=2.

What is (-2,20) (-1,5) (0,0) (1,5) (2,20)?

Quadratic Functions

100

The standard form of a quadratic function is ________.

What is y=ax² + bx + c ?

200

Find the axis of symmetry for the quadratic function x² + 10x + 6 = 0

What is x = -5?

300

If the axis of symmetry of a quadratic function is x=2 and the quadratic function is x² - 9a +18 = 0 what are the coordinates of the vertex?

What is (2,4)?

400

Find the coordinates of the vertex for the quadratic function  

y=2(x-3)^2-5

What is (3,-5)?

500

Juan threw a baseball and it's height h after t seconds is modeled by the function h = -16t² + 76t. When does the baseball reach its maximum height, and what is the height?

What is time it takes to reach 

maximum height: 2.25 seconds 

maximum height: 90 ft

Solving Quadratic Equations

100

What are three methods used to solve quadratic equations?

What is: square root method, factoring, quadratic equation, or graphing?

200

Solve the equation m² + 7 = 88

What is x = 9, -9

300

Solve the equation 7n² + 68 = -380

What is x = 8i, -8i?

400

What is the discriminant of the equation x² + 15x + 30 = -6 and how many solutions does the equation have?

What is d = 81, and it has 2 real solutions?

500

Solve the equation 3x² - 12x - 15 = 0 using the quadratic formula.

What is x = 5, -1 ?

Factoring to Solve Quadratic Equations

100

What is the quadratic formula?

What is 

x=(-b+-sqrt(b^2-4ac))/(2a)

200

The equation 2x² + 75 = 75 has how many solutions?

What is 1 real solution?

300

Solve the equation x² - 13x + 30 = 0

What is x = 3, x = 10

400

Factor x² + 12x + 35.

What is (x+5)(x+7)?

500

Solve the following quadratic equation by factoring 20x² - 13x + 2 = 0

What is 

x=2/5

x=1/4

Complex Numbers

100

What is 

sqrt-1?

What is i ?

200

Add: 

(5i+2) + (4-3i)

What is 

6 + 2i?

300

Subtract: 

(2-i) - (3+2i)

What is 

-1-3i?

400

Multiply:

(3+7i)(2+4i)

What is

-22+26i?

500

Multiply  (2+5i) by the complex conjugate.

What is 

(2+5i)(2-5i)=29?