Quadratics

Quadratics in Standard Form

100

The standard form of quadratics

y=ax^2+bx+c

200

The value of y -intercept of quadratics in standard form

y=c

300

The  y-value of  

y = x^2 + 2x + 1 at 

 x=-4 

y=9

400

What is the y-intercept of the following function 

y=3x²+4x-6

(0,-6)

500

Describe all transformations

y=-a(x+6)^2+4

reflects 

translates left 6

up 4

Quadratics in Vertex Form

100

The vertex form of quadratics

y=a(x-h)^2+k

200

Values of a to reflect 

y = a (x - h)^2 + k

a < 0

300

The vertex of 

-2 (x + 4)^2 + 2

(-4,2)

400

The  y -intercept of 

y = 2(x+3)^2 - 8

y=10

500

Transformation(s) of 

-4 (x + 6)^2 - 4

1. vertical stretch by a factor of 4

2. vertical shift 4 units down

3. horizontal shift 6 units left

4. vertical reflection (flipped upside down)

Solving

100

The solution to x²-12x+20 (via factoring)

(x=10, 2

200

The value of "c" that would allow me to complete the square

x^2-10x+c

What is +25?

300

Find the x intercepts of  0=4x²-9

(3/2, 0) (-3/2, 0)

400

The solution to the following equation (Quad. Formula):

2x²-9x-5=0

x=5, -1/2

500

A quadratic equation that has solutions x=-1, -2 (multiple correct answers

y=x²+3x+2

Misc

100

Does the graph of
-2(x + 5)² + 2
have a minimum or a maximum?

Maximum

200

What is the vertex of the equation
y= (x-12)2+7 ? 

(12, 7)

300

When x2 is changed to x2 -3, the graph 

Shifts down 3 units.

400

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

x = -3

500

The equation of a parabola shifted left 3, up 2, and stretched by a factor of 1/2

y=1/2(x+3)²+2

Radicals

100

the square root of 32

4 root 2

200

Square root of 2/(root 2)

root 2

300

Square root of -8

2i root 2

400

(4 root 3)(2 root 6)

24 root 2

500

(2-5i)(3+i)

11-13i