Parts of a Parabola
The y-intercept of the equation:
y=2x2+3x-6
What is (0,-6)?
The domain and range of:
y=.5(x+2)2+7
What is:
Domain = all real numbers
Range = y>/ 7
The y-intercept of:
y=x2+5
What is (0,5)
Write the equation of a parabola with a vertex (4,5) and a stretch factor of 2
What is y=2(x-4)2+5?
A model for the path of a toy rocket is given by
h=68t-4.9t2, where h is the height in meters and t is the time in seconds. Find the height of the toy rocket after 2 seconds.
What is 116.4 meters?
The vertex of:
y=.5(x-3)2-7
What is (3,-7)?
y=-4(x-6)2+8
(Make sure to identify if it is a max or min)
maximum at 8
3 points that are on the parabola:
y=2x2+6x
What is: answers vary!
Rewrite the following equation in standard form:
y=-2(x+4)2
What is y=-2x2-16x-32?
A model for the path of a toy rocket is given by
h=68t-4.9t2, where h is the height in meters and t is the time in seconds. Find the time when the rocket reaches its maximum height.
The direction the following graph is facing:
y=-3x2+9x-1
What is "down"?
Three points on the parabola:
y=-.5(x-1)2+6
(Include the vertex and two other points)
What is:
vertex: (1,6)
two other points: varies
The vertex of the parabola:
y=5x2+20x-4
What is (-2, -24)?
Rewrite the following equation in standard form:
y=.5(x-8)2-20
What is y=.5x2-8x+12?
A model for the path of a toy rocket is given by
h=68t-4.9t2, where h is the height in meters and t is the time in seconds. What is the maximum height of the rocket?
The vertex of:
y=-3x2+12x-5
What is (2,7)?
Write the equation of a parabola in vertex form with a vertex (-1,3) and passes through the point (-3,2)
What is y=-1/4(x+1)2+3?
The equation of the parabola in standard form passing through the points (0,0) , (2,6) , and (-1,-6).
What is y=-x2+5x?
Rewrite the following equation in vertex form:
y=-2x2-12x-4
What is y=-2(x+3)2+14?
You are playing a lawn version of tic tac toe in which you toss bean bags onto a large board. One of your tosses can be modeled by y=-.12x2+1.2x+2, where x is the bean bag's horizontal position (in feet) and y is the corresponding height (in feet). What is the bean bag's maximum value?
What is 2 feet?
The y-intercept of the graph:
y=2(x+1)2-5
What is (0,-3)?
Find the equation of a parabola in vertex form with a vertex (1/2, 5) that passes through (1, 17/4)
What is y=-3(x-1/2)2+5?
Write the equation of the parabola passing through the points (0,-7) , (3,2) , and (-3,-10).
y=1/3x2+2x-7
Rewrite the following equation in vertex form:
y=1/4x2+x-1/2
What is y=1/4(x+2)2-3/2?
A circus performer is shot out of a cannon and follows a parabolic path where y is the height (in feet) and x is the horizontal distance (in feet) that she travels. The path starts at (0,15) and has a vertex at (50,35). Write an equation for the parabola.
What is y=-.008(x-50)2+35?