Oak Farm Algebra 2 Jeopardy

Transformations

100

f(x)=3x reflected in the x-axis then translated 3 units up

g(x)=-3x+3

200

f(x)=x^2 is translated two units left, followed by a vertical shrink by a factor of 1/3

g(x)=1/3(x+2)^2

300

f(x)=e^x translated 2 units right and then three units down

g(x)=e^(x-2)-3

400

f(x)=(x)^(1/2) is horizontally stretched by a factor of 5, followed by a reflection in the y-axis

g(x)=(-1/5x)^(1/2)

Classic Algebra

100

solve for x:
x^2+7x+12=0

x={-3,-4}

200

solve for x:

5(x-2)^2=20

x={4,0}

300

solve for x: (find real solutions)

51=-13 + 4x⁴

x={2,-2}

400

solve for x:

9^x+6=3^3x

x=12

Simplify Expressions

100

2/(8)^(.5)

2^(.5)/2

200

2x²-2x-12/(x-3)

2(x+2)

300

write log₂(9)-4log₂(3) as a single simplified logarithm

log₂(1/9)

400

(x²+4x+3/(x²-1))/(x+3)/(x+1) 

(x+1)/(x-1)

Trigonometry

100

Convert 172 degrees to radians

43pi/45

200

5pi/3 to degrees

300

300

cos(690)

3^(.5)/2

400

cot(-135)

1

500

compute sin(15)

(6^(.5)-2^(.5))/4

Wild

100

graph x²+y²=25

circle with radius 5 centered at origin

200

what is the domain of f(x)=3/(2+x)

x is all reals besides -2

300

simplify sin(x)cot(x)

cos(x)

400

simplify sin(-x)sec(x)

-tan(x)