Quadratics

Quadratic Formula

100

Solve using the quadratic formula: 

x^2 + + 16x + 64 = 0

(-8,0)

200

Solve using the quadratic formula:

x^2 - 5x = 0

(0,0) (5,0)

300

Solve using the quadratic formula:

x^2 + 4x + 4 = 0

(-2, 0)

400

Solve using the quadratic formula:

x^2 + 4x = -3

(-1,0) (-3,0)

500

Solve using the quadratic formula:

2x^2 -7m -6 = -9

7 + square root of 73/4 7 - square root of 73/4

Complete the Square

100

Solve by completing the square:

x^2 + 11x + 28 = 0

(-4,0) (-7,0)

200

Solve by completing the square:

x^2 + 6x + 8 =0

(-4,0) (-2,0)

300

Solve by completing the square:

2x^2 + 22x + 60 = 0

(-5,0) (-6,0)

400

Solve by completing the square:

x^2 + 11x + 10 = 0

(-1,0) (-10,0)

500

Solve by completing the square:

x^2 - 3x + 28 = 0

(-4,0) (7,0)

Conversions

100

Convert to standard form:

y = -2(x - 4)^2 + 6 

y = -2x^2 + 16 - 26

200

Convert to vertex form:

y = x^2 + 2x - 35

y = (x + 1)^2 - 36

300

Convert to vertex form:

y = x^2 + 6x - 16 

y = (x + 3)^2 -25

400

Convert to vertex form:

y = x^2 + 4x - 12

y = (x + 2)^2 - 16

500

Convert to vertex form:

y = x^2 - 8x - 9

y = (x - 4)^2 -25

Finding Values

100

What is the vertex of 

y = x^2 + 2x - 35

(-1,-36)

200

What is the vertex: 

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

(3,-5)

300

Find the vertex: 

y = 9x^2 - 16

(0, -16)

400

Find the vertex:

y = 4x^2 + 2x

(-1/4, -1/4)

500

Find a if a point on the graph is (1,2) and the vertex is (0,0).

1

Anything Quadratic

100

in the equation y = 25x^2 - 16, what is the value of b?

0

200

Factor 16x^2 - 25

(4x - 5)(4x + 5)

300

What type of trinomial is

x^2 + 4x + 4 

perfect square trinomial

400

What is the value of a in the equation

y = -2(x - 3)^2 + 4 

-2

500

In what direction does the parabola for the equation

y = .24(x - 3)^2 -3

open?

Up