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EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
QUADRATIC FUNCTIONS AND
EQUATIONS
Ch. 4.1Quadratic Functions and Transformations
BELL WORK
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
FYI- Current
Q1 grades
are posted in the back.
QUADRATIC FUNCTIONS AND TRANSFORMATIONS
READ
When considering transformations, we may wonder whether they can transform the graph of a quadratic function so that the parabola opens leftward or rightward. The graph can be transformed this way, for example, by a reflection in y=x.
Understand that the graph of any quadratic function is a transformation of the graph of the parent function, x=x^2. The axis of symmetry is a line that divides the parabola in to two mirror images.
Special note- Do not confuse the absolute value graph with a parabola.
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
THE PARENT QUADRATIC FUNCTION
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
CONCEPT SUMMARY
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
GRAPHING A FUNCTION OF THE FORM F(X) = AX2
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
GRAPHING A FUNCTION FOR THE FORM F(X) = AX2
Now you try…
KEY CONCEPT
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
STOP AND TALK
What can you say about the graph of a quadratic function if a is negative?
Describe what a vertex is, and how to find it.
Describe what an axis of symmetry is, how does knowing this help you graph a quadratic?
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
GRAPHING THE TRANSLATION OF F(X) = X2
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
GRAPHING THE TRANSLATION OF F(X) = X2
Now you try…
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
TRANSLATION OF THE PARABOLA
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
USING VERTEX FORM
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
USING VERTEX FORM
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
WRITING A QUADRATIC FUNCTION IN VERTEX FORMIf the parabola of a vertex is at (4, 5) and the parabola is not compressed or stretched vertically, what is the equation of this quadratic function?
EQ: HOW CAN I GRAPH A QUADRATIC FUNCTION? I WILL ACCURATELY GRAPH A QUADRATIC FUNCTION.
CLOSURE
(On your bell sheet)
Compare and Contrast
Describe the difference between the graphs of
y = (x + 6)2 and y = (x – 6)2 + 7