Quadratic Functions (Standard & Vertex Form)

Understanding Quadratic Functions

100

The shape of the graph. (mathematical term)

What is a parabola?

200

The point through which the parabola turns direction.

What is the vertex?

300

A vertical line that passes through the vertex and divides the parabola into two symmetrical halves.

What is axis of symmetry?

400

Identify the axis of symmetry f(x)=(x+3)^2 -4

x=-3

500

How can you determine whether a function is quadratic or not by looking at its graph?

If the graph is a parabola or not

Vertex Form of a Quadratic

100

Vertex form of a Quadratic Function

What is y=a(x-h)^2+k

200

Vertex

What is (h,k)

300

Graph opens upward or downward f(x)=-5(x-1)^2+2

downward

400

State the Vertex of the quadratic 

f(x)=-2(x-3)^2+1

What is (3,1)

500

State the domain and range of f(x)=(x-2)^2-4 

domain: R  / Range y greater than -4

Interpreting Quadratic Functions

100

Is this a Quadratic Function: f(x)=x+1

Explain WHY! 

No, it is a linear function because there is no 

x^2 term

200

Is this a quadratic function? f(x)= x^2+2x-6

Explain WHY!

Yes because it has an 

x^2

300

Describe the transformation of the vertex:

(x+4)^2-8

4 to the left and 8 down

400

Describe the transformation of the vertex:

f(x)=(x-1)^2-13

1 to the right and 13 down

500

Describe the transformation of f(x)= 0.5(x-1)^2 + 6

1 unit to the right, vertical compression by factor 0.5 and 6 units up