Graphing Quadratic Function in Vertex Form

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

•

CCSS

HSF-IF.C.7A, HSF.IF.B.4, HSA.CED.A.2

Standards-aligned

Ailene Tabula

Used 13+ times

FREE Resource

9 Slides • 10 Questions

Graphing
Quadratic Functions
in
Vertex Form

by Ms Tabula

By Ailene Tabula

Opening of the graph
positive - upward
negative - downward

Vertex of Parabola
(h,k)

Multiple Choice

What piece of information does k identify in the following equation?

y = a(x - h)²+ k

y value of the vertex

x value of the vertex

Direction (facing up or down)

x-intercept

Find the vertex

a=
h=
k=

Vertex:
Opening of the graph:

Find the vertex

a=
h=
k=

Vertex:
Opening of the graph:

Multiple Choice

What is the vertex of the function y = (x - 3)² + 5

(-3, 5)

(3, -5)

(-3, -5)

(3, 5)

Multiple Choice

What is the vertex of the parabola: y = 2(x - 3)²+ 4

(3,4)

(-3,4)

(3, -4)

(-3,-4)

Multiple Choice

What is the vertex of the following equation? $f\left(x\right)=-\frac{1}{2}\left(x-5\right)^2+6$

$\left(-5,-6\right)$

$\left(-5,6\right)$

$\left(5,-6\right)$

$\left(5,6\right)$

Multiple Choice

Identify the vertex and whether the graph opens up or down.

(5, 2); opens up

(5, 2); opens down

(-5, 2); opens up

(-5, 2); opens down

But how to graph the Quadratic Function using Vertex Form?

By Ailene Tabula

Controls the width of parabola

Vertex of Parabola
(h,k)

RULE: 1a:3a:5a

Opening of the graph:

Vertex:

Out 1, Up 1
Out 1, Up 3
Out 1, Up 5

Opening of the graph:

Vertex:

RULE: 1a:3a:5a

Out 1, Up 1
Out 1, Up 3
Out 1, Up 5

Opening of the graph:

Vertex:

RULE: 1a:3a:5a

Out 1, Up 1
Out 1, Up 3
Out 1, Up 5

Graphing

Graph the Quadratic Function

Graphing

Graph the Quadratic Function

Graphing

Graph the Quadratic Function

Graphing

Graph the Quadratic Function

Poll

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Graphing
Quadratic Functions
in
Vertex Form

by Ms Tabula

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Graphing Quadratic Function in Vertex Form

Graphing ​Quadratic Functionsin Vertex Form

Graphing ​Quadratic Functionsin Vertex Form

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Graphing
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Vertex Form

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Vertex Form