Solve!
Factor!
Graphs!
Super Fun Category!
100
Solve the following function
f(x)=8x^2+24x
8x(x+3)=0
x=-3,0
100
Factor completely (don't solve!)
x^3-2x^2+5x-10
(x-2)(x^2+5)
100
For f(x), find the following:
f(x)=-1/2(x+2)^2+4
AoS
Vertex
X-intercept
Y-intercept
AoS: x=-2
Vertex: (-2,4)
x-int: (-4.83,0),(0.83,0)
y-int: (0,2)
100
John Wick is stuck in Tilted Towers and needs your help! If you can quickly send him the funky long numbers on the front of your moms credit card and the silly little numbers on the back, we can give him a rocket launcher! The rocket will follow the path modeled by R(x) where R is the height in feet.
R(x)=-1/4x^2+3x+2
Find the peak height of the rocket algebraically, using the axis of symmetry and vertex!
Axis of Symmetry: x=6
Vertex: (6,11)
Peak height: 11 feet
200
Solve the following function
f(x)=4x^2-12
x=+-sqrt3
200
Factor completely (don't solve!)
125x^9+8z^3
a=5x^3,b=2z
(5x^3+2z)(25x^6-10x^3z+4z^2)
200
Describe the transformations for f(x):
f(x)=-1/3(x-5)^2+10
Reflection over x-axis
Vertical shrink by 1/3
Right 5
Up 10
200
In an effort to reduce the national inventory of nuclear weapons but still maintain a strong military force, scientists have begun replacing nukes with a new one-time-use city destroying projectile: your mother. Weighing at 1.28 tons, your moms projectile motion can be modeled by h(t) where h is height in feet and t is time in seconds. Find the following:
h(t)=-1/2t^2+36t+32
Starting height of your mom
Height of your mom after 32 seconds
Peak height (vertex)
Starting height: 32 feet
Height after 32 seconds: 672 feet
Vertex: 680 feet
300
Draw a cute hippo
300
Factor completely (don't solve!)
4r^2+3r-10
(r+2)(4r-5)
300
Describe the transformations for f(x), then give the Domain and Range
f(x)=-4(x+3)^2-2
Reflection over x-axis
Vertical Stretch by 4
Left 3
Down 2
Domain:
(-infty,infty)
Range:
(-infty,-2]
300
Mr. Chong hates democracy and wants to destroy all voter ballot mailboxes. He finds that if he can launch a cannonball that follows the travel arch modeled by the function, he can safely destroy anything from far enough away. x and y are in feet. Find the following:
y=-1/3x^2+13x+6
What does x and y represent in the problem?
Starting height of the cannonball
Height of the cannonball 9 feet from Mr. Chong
Assuming the mailbox is on the ground, how far away was it from Mr. Chong? Round to 2 decimals
x represents horizontal distance in feet, y represents vertical height in feet
Starting Height: 6 ft
Height 9 ft away: 96 ft
Mailbox distance: 39.46 ft