Forms of a Parabola
Name: _____________________________
Example 1:
 Minimum  Maximum
Other property:
Example 2:
 Minimum  Maximum
Other property:
Example 1:
 Minimum  Maximum
Other property:
Example 2:
 Minimum  Maximum
Other property:
Example 1:
 Minimum  Maximum
Other property:
Example 2:
 Minimum  Maximum
Other property:
Vertex Form
You can identify the
________________________
and the
________________________
from the equation
Factored Form
You can identify the
________________________
and the
________________________
from the equation
Standard Form
You can identify the
________________________
and the
________________________
from the equation
Practice
 Minimum
 Maximum
 Minimum
 Maximum
 Minimum
 Maximum
The equation is in:
 Standard  Vertex  Factored
The equation is in:
 Standard  Vertex  Factored
The equation is in:
 Standard  Vertex  Factored
Which means I can identify the:
Which means I can identify the:
Which means I can identify the:
 vertex  y-intercept  x-intercepts
 vertex  y-intercept  x-intercepts
 vertex  y-intercept  x-intercepts
Using the equation, write that
property in the space below:
______________________________
______________________________
Using the equation, write that
property in the space below:
______________________________
______________________________
Using the equation, write that
property in the space below:
______________________________
______________________________
Forms of a Parabola
 Minimum
 Maximum
Name: _____________________________
 Minimum
 Maximum
 Minimum
 Maximum
The equation is in:
 Standard  Vertex  Factored
The equation is in:
 Standard  Vertex  Factored
The equation is in:
 Standard  Vertex  Factored
Which means I can identify the:
Which means I can identify the:
Which means I can identify the:
 vertex  y-intercept  x-intercepts
 vertex  y-intercept  x-intercepts
 vertex  y-intercept  x-intercepts
Using the equation, write that
property in the space below:
______________________________
______________________________
Using the equation, write that
property in the space below:
______________________________
______________________________
Using the equation, write that
property in the space below:
______________________________
______________________________
 Minimum
 Maximum
 Minimum
 Maximum
 Minimum
 Maximum
The equation is in:
 Standard  Vertex  Factored
The equation is in:
 Standard  Vertex  Factored
The equation is in:
 Standard  Vertex  Factored
Which means I can identify the:
Which means I can identify the:
Which means I can identify the:
 vertex  y-intercept  x-intercepts
 vertex  y-intercept  x-intercepts
 vertex  y-intercept  x-intercepts
Using the equation, write that
property in the space below:
______________________________
______________________________
Using the equation, write that
property in the space below:
______________________________
______________________________
Using the equation, write that
property in the space below:
______________________________
______________________________
Scenario #1: A bear is standing on a cliff overlooking a
river when it sees a trout in the water. The bear dives off
of the cliff and goes underwater to catch the trout, then
swims back to the surface.
Scenario #2: Mr Schneider is a master of parkour. In one
of his videos, he’s standing on the ledge of a building and
then jumps into the air, does a flip, and lands on the
ground.
Each of the equations below represent the path of the
bear as it dives into the water:
Each of the equations below represent the path of Mr
Schneider as he jumps through the air:
A)
B)
C)
The Challenge: Without drawing a picture and using only
these equations, answer each of the questions:
1)How high above the water was the cliff that the bear
was standing on? _______________________
Which equation did you use to answer #1?  A  B  C
2)How far below water was the trout? _____________
Which equation did you use to answer #2?  A  B  C
3)When did the bear reach the surface of the water for
the second time? _________________
Which equation did you use to answer #3?  A  B  C
A)
B)
C)
The Challenge: Without drawing a picture and using only
these equations, answer each of the questions:
1)When did Mr Schneider land on the ground? ________
Which equation did you use to answer #1?  A  B  C
2)How high did Mr Schneider jump? ______________
Which equation did you use to answer #2?  A  B  C
3)How high was the ledge that he jumped off of? _______
Which equation did you use to answer #3?  A  B  C