Vertex Form of Quadratics
We already know: We are learning today:
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.
This is a HIGHLY questioned area of the EOC we will take in may. It will typically appear on the NO CALCULATOR section.
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:
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:
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:
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)
A FUN way to remember what “h” does is…. The HOP-posite! H is the OPPOSITE of the axis of symmetry.
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)
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)
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)