Algebra II - IA #1 Review - Jeopardy!

Transformations of Functions

100

g(x) = |x| - 10

Vertical translation 10 units down

200

h(x)= |x-4|+1

Horizontal translation 4 units right; Vertical translation 1 unit up

300

k(x)=-2|x|

Reflection about the x-axis; Vertical stretch by a factor of 2

400

m(x)=.5|-x|-2

Vertical compression by a factor of 1/2; Reflection about the y-axis; Vertical translation 2 units down

500

d(x) = -|-2x+3|-5

Reflection about the x-axis; Reflection about the y-axis; Horizontal compression by a factor of 2; Horizontal translation 3 units left; Vertical translation 5 units down

Composition of Functions

100

f(x) = x+4 g(x) = -x-1 Find (f(g(x))

f(g(x))=-x+3

200

f(x) = x+4 g(x) = -x-1 Find (g(f(x))

(g(f(x)) = -x-5

300

f(x) = x^2 + 1 g(x) = -x - 2 Find f(g(x))

x^2 + 4x +5

400

f(x) = -x^2 + 1 g(x) = -x - 3 Find f(g(x))

-x^2 -6x -8

500

f(x) = x^2 - 1 g(x) = x^2 - 3 Find g(f(x))

x^4 -2x^2 -2

Operations on Functions

100

f(x) = -x^2 + 1 g(x) = -x - 3 Find (f+g)(x)

-x^2 -x -2

200

f(x) = -x^2 + 1 g(x) = -x^2 - 3 Find (f-g)(x)

4

300

f(x) = x^2 + 1 g(x) = -x - 3 Find (f *g)(x)

-x^3 -3x^2 -x-3

400

f(x) = x^2 + 1 g(x) = -x - 3 Find f(x-5)

x^2 - 10x + 26

500

f(x) = x^2 + 1 g(x) = -x - 3 Find f(x+4) + g(x+1)

x^2 + 7x +13

Solving Equations

100

Solve for x: sqrt(x-4)=10

x = 104

200

Solve for x: 10 + sqrt(x+2) = 0

x=98

300

Solve for d: (3h)/(4d) = c/g

d = (3hg)/(4c)

400

Solve for m: 2*sqrt(3m) = 2s/4

m= (s^2)/48

500

Solve for p: 2/(3p) = (p^2)/(9f)

p = (6f)^1/3