Solve by Factoring 1
Solve by Factoring 2
Vertex and Axis of Symmetry
Parabola Features
Word Problems
100
x2 - 81 = 0
x=9 or x=-9
100
x2 - 5x - 36 = 0
x=-4 or x=9
100
Find the equation of the axis of symmetry
y = 2x2 - 16x + 42
x=4
100
Using the graph, determine the coordinates of the vertex of the parabola.
(-3, -1)
100
A tennis ball is dropped from a certain height. Its height in feet is given by h(t) = -16t2 + 1444 where t represents the time in seconds after launch. How long is the ball in the air?
9.5 seconds
200
x2 - 4x - 16 = -4x
x=4 or x=-4
200
x2 + 12x = 4x + 20
x=2 or x=-10
200
Find the equation of the axis of symmetry
y = -x2 - 6x
x=-3
200
Using the graph, determine the equation of the axis of symmetry.
x=2
200
Layla launches a toy rocket from a platform. The height of the rocket in feet is given by h(t) = -16t2 + 136t + 72 where t represents the time in seconds after launch. How many seconds have gone by when the rocket is at its highest point?
4.25 seconds
300
x2 - 4x - 59 = -4x + 5
x=8 or x=-8
300
x2 - 8x = -9x + 12
x=-4 or x=3
300
Find the coordinates of the vertex.
y = x2 + 8x + 19
(-4, 3)
300
Using the graph, determine the coordinates of the y-intercept of the parabola.
(0, 5)
300
Arturo launches a toy rocket from a platform. The height of the rocket in feet is given by h(t) = -16t2 + 32t + 128 where t represents the time in seconds after launch. What is the rocket’s greatest height?
144 feet
400
x2 - 6x = 0
x=0 or x=6
400
3x2 + 5x - 2 = 0
x=1/3 or x=-2
400
Find the coordinates of the vertex.
y = 4x2 +56x + 188
(-7, -8)
400
Using the graph, determine the coordinates of the x-intercepts of the parabola.
(3, 0) and (7, 0)
400
Dominic launches a toy rocket from a platform. The height of the rocket in feet is given by h(t) = -16t2 + 64t + 36 where t represents the time in seconds after launch. What is the rocket’s initial height?
36 feet
500
x2 + 2x = -2x
x=0 or x=-4
500
6x2 - 5x + 6 = 6x + 3
x=1/3 or x=3/2
500
Find the coordinates of the vertex.
y = -2x2 - 12x - 34
(-3, -16)
500
Using the graph, determine the coordinates of the x-intercepts of the parabola.
(-3, 0) and (1, 0)
500
Mayerlin kicks a football. Its height in feet is given by h(t) = -16t2 + 80t where t represents the time in seconds after kick. What is the height of the football at 2 seconds?
96 feet