Review Quadratics

discriminant/formula

100

Find the discriminant for the following: 

3x²-2x+8

-80

200

The discriminant is where in the quadratic formula 

Inside the radical b²-4ac

300

4x²+7x+1=0

X=(-7+sqrt33)/8

x=(-7-sqrt33)/8

400

The area of a rectangle is 48 units². Its length is 2 units longer than its width. Find the dimensions. 

w²+2w-48=0

x=(-1+sqrt196)

x=(-1-sqrt196)

500

A ball is thrown upward from a height of 5 feet with an initial velocity of 24 ft/s. Its height is modeled by the equation: 16t²+24t+5. When does the ball hit the ground? 

T=1.69 seconds 

complete square

100

x²+6x+5=0

Roots are: 

X=-1, -5

200

X²-10x+7=0

X=5+3sqrt2

x=5-3sqrt2

300

2x²+8x-6=0

X=-2+sqrt7

x=-2-sqrt7

400

Write in vertex form:y= x²+8x+3

Y=(x+4)²-13

500

X²+3x-1=0

X=(-3+sqrt13)/2

x=(-3-sqrt13)/2

factor misc

100

Factor: x²-2x-24

(X-6)(x+4)

200

2x²-7x-4

(2x+1)(x-4)

300

Factor: x²-81

(X+9)(x-9)

400

2x²-7x-4

X=4,-1/2

500

What is the quadratic equation (standard form) that has the roots of x=-2+3i and x=-2-3i

X²+4x+13

Vertex

100

-b/2a is how we calculate what

Axis of symmetry

200

The ordered pair for the vertex is: 

(h,k)

300

Write the equation where the y-intercept is (0,12)and  x-intercepts are (1,0) and (4,0)

-3x²-9x+12

400

Identify the vertex: 

(x-2)²-4

(2,-4)

500

Describe the transformation happening: 

3(x+3)²-5

Vertical stretch by 3

 left 3

down 5

Miscellaneous 1

100

X²(2x)

2x³

200

2x²(3x⁶-2x⁷)

6x⁸-4x⁹

300

(3x⁶-9x¹⁰+2x+3x⁵)-(6x⁵-10x¹⁰+5x)

X¹⁰+3x⁶-3x⁵-3x

400

Evaluate: i⁹

i

500

Evaluate i⁵⁶

1