Parent Functions and Vectors
What does the Quadratic parent function look like? (equation and graph)
equation- y=x^2
drawing- parabola
In the equation
y = mx + b
Which letter corresponds to the rate of change
M
What is the vertex of the following parabola:
y = 2(x - 3)2- 2
(3,-2)
Which is a more efficient energy producer: fission or fusion?
Fusion
Solve
3x + 7 = 2x
For x
x = -7
Which is a vector:
Distance or displacement?
Displacement
Remember, direction matters when talking about vectors
Draw an position/ time graph that shows positive velocity and zero acceleration.
DRAW HERE
What is the P
Value of the parabola
y-4= 12(x-8)2
P = 3
What is the x coordinate associated with the angle 30 degrees on the unit circle
Sqrt(3) / 2
Solve the following for x
3 = (x-3)2 + 2
x= 4, 2
Shift the function y= x^2 up three units, and right four units.
(what is the new function?)
y = (x-4)2+3
If Mr. H throws a baseball straight up, he can throw it to a max height of 35 meters.
How long would it take for the baseball to reach this maximum height?
2.67 seconds
If I aim 30 degrees above the horizontal, what is the x and y components of the cannonballs velocity after firing?
y- 15 m/s
x- 25.9 m/s
what is the amplitude and period of the sine wave
y=2sin(3x)
A = 2
T = 2(pi)/3
Which wave travels faster, a radio wave or an X-ray?
Trick question, they both move at the speed of light
(around 300,000,000 m/s)
What is the result of transforming the equation
y=4cos(2x-1)+3
by shrinking it vertically by a factor of 2, and shifting it to the right one unit.
2cos(2x)+3
what is the average rate of change of the function
y = 2x2 +3
on the interval [1,3]
the average rate of change is 8
What is the Focus, Vertex, and Directrix of the Parabola
y-3=4(x-2)2
Vertex- (2,3)
Focus- (2,4)
Directrix- y = 2
What is the equation for a wave that has an amplitude of 3, period of 4pi, and starts at y=3
y=3cos(.5x)
if I shoot a cannonball off of a cliff (completely horizontally, no y velocity) at the same time I drop a bowling ball off the cliff, which hits the ground first?
They hit the ground at the same time.
What is the equation of a rational function shifted 2 units left, 1 unit up, and stretched vertically by a factor of 2?
(100 bonus points if answer is expressed with only one fraction)
2/(x+2) +1
OR
(2+(x+2))/(x+2)
I toss a rock up into the air at a speed of 2 m/s from a height of 1.5 meters. How long does it take to hit the ground?
.8 seconds
My catapult can be modeled with
y = -0.15(x - 3)2 + 1.75
I am 0.75 meters off the ground, my target is 0.4 meters off the ground. How far away do I need to position the catapult?
6.05 m away
What is used to split atomic nuclei in nuclear fission?
A neutron
Where did Coach C go to college for his undergraduate degree?
IU