Quadratic Equations Review

Factoring

100

x² - x - 6

What is the standard form of (x-3)(x+2)?

200

(2x + 5)(2x + 1)

What is the factored form of 4x² + 12x + 5?

300

(3x-4)(6x-5)

What is the factored form of 18x² - 39x + 20?

400

6x² - 19x -7

What is the extended form of (2x-7)(3x+1)?

500

2(x-1)(3x-5)

What is the extended form of 6x² - 16x + 10?

What's the Equation?

100

The equation (x-2)(x-5)=0 in standard form

What is x² - 7x + 10?

200

The equation y = (x – 1)² in standard form.

What is y = x² - 2x + 1?

300

http://maths.nayland.school.nz/Year_12/AS_22_Graphs/Images/y12_1_parabola_images/parabola_basic_graph.gif The equation of this graph

What is the graph of y=x²?

400

The equation of a parabola given vertex (3,-3) and point (0,6)

What is fx() = x² - 6x + 6?

500

The equation of a parabola given the points (-2,6), (0,-4), and (1,-6)

What is f(x) = x² - 3x - 4?

Vertex and Zeros

100

The zeros of the equation x² + 2x - 15 = 0

What are -5 and 3?

200

The vertex of the function f(x) = 4x² + 16x - 4

What is (-2, 44)?

300

The zeros to the function f(x) = 3x² + 7x + 2

What are -1/3 and -2?

400

The zeros to the equation 3(2x-7)(x+5) = 0

What are 7/2 and -5?

500

The vertex of the function y + 10 = 4(x - 2)²

What is (2, -10)?

Complete the Square

100

The number c must be in order to make x² - 8x + c a perfect square trinomial.

What is 16?

200

The answers when using "complete the square" for the equation x² + 6x = −2.

What are -3 minus the square root of seven and -3 plus the square root of seven?

300

The answers when using "completing the square" to solve the equation t^2 – 8t = –6.

What are four plus the square root of ten and four minus the square root of ten?

400

The number that must be c is 9x² - 24x + c is a perfect square trinomial.

What is 16?

500

The answers when you "complete the square" of the equation x² + 20x + 40 = 0

What are negative ten plus two times the square root of fifteen and negative ten minus two times the square root of fifteen?

Quadratics/Complete the square

100

In ax^2 + bx + c = 0, which letter (a,b, or c) do we half and then square to "complete the square"?

b

200

Given the equation y= x^2 - 2, name the vertex of the parabola.

(0,-2)

300

Solve by completing the square: x^2 - 6x = 0

x=0, 6

400

Solve by factoring: x^2 - 4x - 5 =0

x=5,-1

500

Mr.Beck's rectangular pool has a length of 10 feet and an area of 60 feet squared. If he wants to enlarge the pool by 4 feet in length and 6 feet in width, what will be its new area?

168 feet squared.