Graphing Quadratics Using Transformations Name______

Graphing Quadratics Using Transformations Name______

Transformational Form:

1.  Look at your summary sheet. We want to focus on the transformations of to help us prepare for graphing quadratics. Fill in the blanks.

a)  When I see in the equation, I know there is a vertical translation of ___ units

______. We can write: VT of ____

When I see in the equation, I know there is a ______translation

of _____ units ______. We can write: _____ of ____

The vertical translation is the ______of the number being added to y.

b)  When I see in the equation, I know there is a horizontal translation of _____ units ______. We can write HT of _____

When I see in the equation, I know there is a ______

translation of _____ units ______. We can write _____ of _____.

The horizontal translation is the ______of the number being added to x.

c)  When I see a negative in front of , I know there is a reflection. This means the graph opens ______. We can write Rx

d)  When I see in front of in the equation, I know there is a vertical stretch of ______. We can write it as VS of _____.

When I see 3 in front of in the equation, I know there is a ______stretch of ______. We can write it as _____ of _____.

The vertical stretch is the ______of the number being multiplied on y.

2.  Graph each of the following:

a)
Transformations:
(x,y) → ( , )
Vertex:
/ b)
Transformations:
(x,y) → ( , )
Vertex:
/ c)
Transformations:
(x,y) → ( , )
Vertex:
d)
Transformations:
(x,y) → ( , )
Vertex:
/ e)
Transformations:
(x,y) → ( , )
Vertex:
/ f)
Transformations:
(x,y) → ( , )
Vertex:
g)
Transformations:
(x,y) → ( , )
Vertex:
/ h)
Transformations:
(x,y) → ( , )
Vertex:
/ i)
Transformations:
(x,y) → ( , )
Vertex:
j)
Transformations:
(x,y) → ( , )
Vertex:
/ k)
Transformations:
(x,y) → ( , )
Vertex:
/ l)
Transformations:
(x,y) → ( , )
Vertex: