What's the vertex?
Solve for y
Standard Form vs Vertex Form
Graphs, Giraffes, and more GRaPhs
Santa or
Mr. Garcia
Mr. Garcia
100
X Y
1 1
2 3
3 4
4 3
5 1
( 3 , 4 )
100
Solve for y when x= 2
y=x2
4
100
What is the formula below?
y=a(x-h)^2+k
Vertex Form
100
What is axis of symmetry of the graph?
x=-1
100
This man travels by sleigh
Santa
200
What is the vertex for?
y=(x+2)^2-4
( -2 , -4 )
200
Solve for y when x =-3
y= x2+2x
3
200
What is the form below?
y=ax^2+bx+c
Standard Form
200
What is the vertex of the graph?
(3,1)
200
This person is said to be able to travel the world in a single night
Santa
300
What is the vertex for?
( -2 , -3 )
300
Solve for y when x =2
y= 3x2-x-4
6
300
What is the equation to solve for the axis of symmetry from standard from?
y=ax^2+bx+c
-b/(2a)
300
What is the vertex form of the graph?
y=(x-3)^2-1
400
What is the vertex for
X Y
-2 10
-1 7
0 10
1 18
2 32
3 55
( -1 , 7 )
400
Solve for y when x =-4
y= x2+2x-8
0
400
Explain which form you think is easier and why
Can be either. Answers vary. Examples include
Vertex Form: Know where the vertex is
Standard Form: Calculations easier
400
What is the vertex, axis of symmetry and which way does the graph open?
Vertex: (2,4)
Opens: Down
Axis of Symmetry: x=2
400
This person makes sure to run so they do not pack on that extra holiday weight
Mr. Garcia
500
Describe how you know where the vertex is in a table of values
The vertex is the point where the y value is only there once
The vertex is the point where the table flips the direction either +- to -+ or -+ to +-
500
Solve for y when x =1
y= x2-2x-6
-7
500
Find the vertex of the equation below
y=x^2-4x+3
(2,-1)
500
Create your own graph and tell me which way it opens, axis of symmetry, and the vertex.
Answers Vary
500
This person is said to own the best pet(s)
Trick Question
It's Both
600
What's the vertex for
y = -3x2 -6x + 2.
(-1 , 5 )
600
Solve for y when x =-2
y= x3+2x2-x-1
1
600
Convert the vertex form to standard form
y=(x-3)^2-5
y=x^2-6x+4
600
1.Which Javelin throw goes the highest?
2. Which Javelin throw goes the furthest?
3. What is the vertex of Javelin 3?
1. Javelin Throw 1 and 2
2. Javelin Throw 1
3. (20,12)
600
Think of something that can be used to describe Mr. Garcia and Santa
This question is open to the class
All answers accepted