Vertex Form of Quadratics

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Presentation transcript:

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.

It will typically appear on the NO CALCULATOR section. This is a HIGHLY questioned area of the EOC we will take at the end of the year. It will typically appear on the NO CALCULATOR section.

Down 2 (2, 4) Let’s make connections: Graph: Direction: Axis of Symmetry: Vertex: Down 2 (2, 4)

Down -5 (-5, -3) Let’s make connections: Graph: Direction: Axis of Symmetry: Vertex: Down -5 (-5, -3)

Up -2 (-2, -1) Let’s make connections: Graph: Direction: Axis of Symmetry: Vertex: Up -2 (-2, -1)

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)