Project

4.1 Quadratic Functions and Transformations

100

Descibe the translation of f(x)=(x-1)²

Translation 1 unit to the left

200

Find the minimum or maximum value of f(x)=-2(x+3)²-5

Maximum value is -5

300

Find the vertex, axis of symmetry, and the maximum or minimum value of y=6(x-8)²-3

Vertex= (8,3)

Axis of symmetry= 8

Minimum value= -3 

400

Write y=-4x²+20 In vertex form

f(x)=-4(x-0)²+20

500

Graph y=-2(x+2)²+4

Maximum value of 4, vertex is (4,2), parabola opens downward

4.2 Standard Form of a Quadratic Equation

100

What is the standard form of an equation

f(x)=ax²+bx+c

200

y = x² - 2x + 9 In vertex form

y = (x - 1)² + 8

300

Convert y=2x²+10x+7 into vertex form

y=2(x+2.5)²-5.5

400

Write y = 6x² + 24x + 4 in vertex form

y = 6(x + 2)² - 20

500

y = -2x² + 8x + 3 In vertex form

y = -2(x - 2)² + 11

4.3Find an equation in standard form that passes through the following points

100

 (3,-6)(1,-2)(6,3)

y=x²-6x+3

200

(1,-2)(2,-2)(3,-4)

y=x²+x-2

300

(-1,6)(1,4)(2,9)

y=2x²-x+3

400

(1,0)(2,-3)(3,-10)

y=-3x²+x

500

(-2,3.5)(-1,3.5)(0,7.5)(1,15.5)(2,27.5)

y=2x²+6x+7.5

4.4 Factoring Quadratic Equations

100

What is a perfect square trinomial?

Trinomial that is the square of a binomial

200

Factor 6x²+9x

3x(2x+3)

300

Factor x²+5x+6

(x+2)(x+3)

400

Factor x²-x+20

-(x-4)(x+5)

500

Factor 5x²+12x-32

(x+4)(5x-8)

4.5 Quadratic Equations

100

What does the zero-product property say?

If ab=0, then a=0 or b=0

200

Solve 2x²-x=3 by factoring

-1,-2/3

300

Solve x²+6x+8=0 by factoring

-4,-9

400

Solve 3x²-x-2=0 by factoring

-6,4

500

Solve 2x²=8x by factoring

0,4