Unit 5a graphing quadratics
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Unit 5a Graphing Quadratics. Transformations of Quadratics in Vertex Form. Vertex Form for Quadratics. f(x) = a(x – h) 2 + k. f(x) = a(x – h) 2 + k. h is TRICKY! If h is POSITIVE then the graph moves LEFT. If h is NEGATIVE then the graph moves RIGHT. Axis of Symmetry: x = h

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Unit 5a Graphing Quadratics

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Unit 5a graphing quadratics

Unit 5aGraphing Quadratics


Transformations of quadratics in vertex form

Transformations of Quadraticsin Vertex Form


Vertex form for quadratics

Vertex Form for Quadratics

f(x) = a(x – h)2 + k


Unit 5a graphing quadratics

f(x) = a(x – h)2 + k

h is TRICKY!

If h is POSITIVE then the graph moves LEFT.

If h is NEGATIVE then the graph moves RIGHT.

Axis of Symmetry: x = h

Special Case

If x is NEGATIVE inside then the graph reflects across the y-axis and h takes the sign you see.

If a is NEGATIVE then the graph reflects across the x-axis.

If |a| is less than 1, the graph SHRINKS.

If |a| is greater than 1 the graph STRETCHES.

If k is POSITIVE then the graph moves UP.

If k is NEGATIVE then the graph moves DOWN.

Vertex: (h, k)


Negative on the inside what does this cause the graph to do

NEGATIVE on the INside, what does this cause the graph to do?

Reflect across the y

(h will be the same as it’s sign)

“y” am I in here


Negative on the outside what does this cause the graph to do

NEGATIVE on the OUTside, what does this cause the graph to do?

Reflect across the x

X escaped


Number less than 1 outside what does this cause the graph to do

Number less than 1 outside, what does this cause the graph to do?

Shrink by 3/4


Number greater than 1 outside what does this cause the graph to do

Number greater than 1 outside, what does this cause the graph to do?

Stretch by 8


Add on the inside what does this cause the graph to do

Add on the inside, what does this cause the graph to do?

Move LEFT 2


Subtract on the inside what does this cause the graph to do

Subtract on the inside, what does this cause the graph to do?

Move RIGHT 7


Subtract on the outside what does this cause the graph to do

Subtract on the outside, what does this cause the graph to do?

Move Down 3


Add on the outside what does this cause the graph to do

Add on the outside, what does this cause the graph to do?

Move Up 5


Describe the transformation

DESCRIBE THE TRANSFORMATION


Write the equation of the pink graph

Write the equation of the pink graph


What s the domain what s the range

What’s the Domain?What’s the Range?


What s the domain what s the range1

What’s the Domain?What’s the Range?


Class work homework

Class Work/Homework

Vertex Form of a Quadratic WS


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