Quadratics

FOIL

100

FOIL (x+2)(x+1).

x^2 + 3x + 2

200

FOIL (2x+1)(x+4)

2x^2 + 5x + 4

300

FOIL (2x - 1)(3x + 2)

6x^2 +x -2

400

FOIL (4x - 8)(x - 2)

4x^2 -16x + 16

500

FOIL (3x + 9)^2

9x^2 + 54x + 81

Factor

100

Factor x^2 - x - 2

(x-2)(x+1)

200

Factor x^2 + x - 12

(x+4)(x-3)

300

Factor x^2 - 8x + 15.

(x-5)(x-3)

400

Factor x^2 + 9x + 20.

(x+5)(x+4)

500

Factor x^2 + 11x + 18

(x+9)(x+2)

Translation

100

Write g(x) where g(x) is the translation 6 units down of f(x)=x^2.

g(x) = x^2 - 6

200

Write g(x) where g(x) is the translation 8 units up of f(x)=x^2.

g(x) = x^2 + 8

300

Write g(x) where g(x) is the translation 3 units left of f(x)=x^2.

g(x) = (x+3)^2

400

Write g(x) where g(x) is the translation 12 units right of f(x)=x^2.

g(x) = (x-12)^2

500

Write g(x) where g(x) is the translation 4 units down and 4 units right of f(x)=x^2.

g(x) = (x-4)^2 - 4

Axis of Symmetry

100

Find the axis of symmetry. f (x) = x^2 − 18x + 86

x = 9

200

Find the axis of symmetry. f (x) = −2x^2 − 20x − 46

x = -5

300

Find the axis of symmetry. f (x) = x^2 − 12x + 44

x = 6

400

Find the axis of symmetry. x^2 + 7

x = 0

500

Find the axis of symmetry. f (x) = x^2 + 4x + 5

x = -2

Mixed Bag

100

Find the y-intercept. y = x^2 + 16x + 64.

y = 64

200

Find the y-intercept. y = x^2 - 12.

y = -12

300

Solve for x=1. y = x^2 + 2x + 1.

y = 4

400

Solve for x=3. y = 2x^2 + x + 10.

y = 31

500

Find the roots or zeros of the following quadratic. x^2 + 5x + 6 = 0.

-1 and -5