Graphing Quadratic Function in Vertex Form

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

What I feel about the topic