1. Vertex Form of Quadratics

2. We already know:
We are learning today:

3. Why is knowing vertex form important if we already know standard form??
If an equation is in vertex form you should be able to state the axis of symmetry & vertex form with no work.

4. This is a HIGHLY questioned area of the EOC we will take in may.
It will typically appear on the NO CALCULATOR section.

5. Down 2 (2, 4) Let’s make connections: Graph: Transformations:
A is Negative: Upside down
3: Narrower
-2 inside: moves right 2
+4 outside: Moves up 4
Down
Direction: 2
Axis of Symmetry:
(2, 4)
Vertex:

6. Down -5 (-5, 3) Let’s make connections: Graph: Transformations:
A is Negative: Upside down
2: Narrower
+5 inside: Moves left 5
-3 outside: Moves down 3
Down
Direction: -5
Axis of Symmetry:
(-5, 3)
Vertex:

7. Down -2 (-2, -1) Let’s make connections: Graph: Transformations:
A is Positive: Right side up
+2 inside: moves left 2
-1 outside: Moves down 1
Down
Direction: -2
Axis of Symmetry:
(-2, -1)
Vertex:

8. Let’s make connections:
Based off our answer for the last three questions what does each part of vertex form mean?
Direction (up or down – positive or negative) a: h: k:
Axis of Sym. is OPPOSITE of that number
Vertex is (-h, k)

9. A FUN way to remember what “h” does is….
The HOP-posite!
H is the OPPOSITE of the axis of symmetry.

10. Name the direction, axis of symmetry and vertex of each equation
Name the direction, axis of symmetry and vertex of each equation. WITHOUT A CALCULATOR.
Direction:
Axis of Sym.:
Vertex: UP
Direction:
Axis of Sym.:
Vertex:
DOWN -1 7
(-1, 4)
(7, -2)

11. Name the direction, axis of symmetry and vertex of each equation
Name the direction, axis of symmetry and vertex of each equation. WITHOUT A CALCULATOR.
Direction:
Axis of Sym.:
Vertex:
DOWN
Direction:
Axis of Sym.:
Vertex: UP 2 -4
(-4, 1)
(2, 0)

12. Name the direction, axis of symmetry and vertex of each equation
Name the direction, axis of symmetry and vertex of each equation. WITHOUT A CALCULATOR. UP
Direction:
Axis of Sym.:
Vertex: UP
Direction:
Axis of Sym.:
Vertex: -8 -4
(-8, -2)
(-4, -9)