4.1 Vertex Form or a quadratic equation CLASS NOTES
F.BF.3 Identify the effects of h and k (the vertex) on the graph
of f(x). Also, A.CED.1 F.IF.4,6
Algebra 2:
Tests back:
Today's Essential Question: Can I identify the vertex of
a quadratic function by looking at the graph AND/OR by
looking at the standard form and the vertex form of the
equation?
Later: HW 4-1/4-2 will be due on Tuesday. Questions
in class Monday.
4.1 Vertex Form or a quadratic equation CLASS NOTES
End of term is Friday, October 30th (next Friday)
Retake any quizzes or tests by Friday.
Resubmit any home work or projects by Friday.
All chapter 2 and 3 items are on Term 2.
Chapter 4 (new today) will be on term 3.
4.1 Vertex Form or a quadratic equation CLASS NOTES
F.BF.3 Identify the effects of h and k (the vertex) on the graph
of f(x). Also, A.CED.1 F.IF.4,6
4.1 Vertex Form or a quadratic equation CLASS NOTES
F.BF.3 Identify the effects of h and k (the vertex) on the graph
of f(x). Also, A.CED.1 F.IF.4,6
4.1 Vertex Form or a quadratic equation CLASS NOTES
You try....
F.BF.3 Identify the effects of h and k (the vertex) on the graph
of f(x). Also, A.CED.1 F.IF.4,6
4.1 Vertex Form or a quadratic equation CLASS NOTES
F.BF.3 Identify the effects of h and k (the vertex) on the graph
of f(x). Also, A.CED.1 F.IF.4,6
Example: Let's make one up
Axis of symmetry is: ________________
Vertex is :______________
a=_____tells us that the parabola opens_________because a is_________
4.1 Vertex Form or a quadratic equation CLASS NOTES
F.BF.3 Identify the effects of h and k (the vertex) on the graph
of f(x). Also, A.CED.1 F.IF.4,6
Who wants a jolly rancher?
What is a? What is h? What is k?
What is the vertex?
What is the axis of symmetry?
Which way does the parabola open
(up or down)?
4.1 Vertex Form or a quadratic equation CLASS NOTES
F.BF.3 Identify the effects of h and k (the vertex) on the graph
of f(x). Also, A.CED.1 F.IF.4,6
Important Summary:
Vertex form of a quadratic equation looks like this:
f(x)=a(x-h)2+k
In your notes, fill in the blank:
_______gives the direction of the parabola and the stretch or
shrink factor
_______gives the x coordinate of the vertex, the horizontal shift
AND the equation of the axis of symmetry.
______gives the y coordinate of the vertex and the vertical shift.
4.1 Vertex Form or a quadratic equation CLASS NOTES
F.BF.3 Identify the effects of h and k (the vertex) on the graph
of f(x). Also, A.CED.1 F.IF.4,6
f(x)=-3(x+9)2-8
What is the vertex of this quadratic graph?
What is the line of symmetry?
In what direction does the graph open?
Sketch the graph!
4.1 Vertex Form or a quadratic equation CLASS NOTES
F.BF.3 Identify the effects of h and k (the vertex) on the graph
of f(x). Also, A.CED.1 F.IF.4,6
4.1 Vertex Form or a quadratic equation CLASS NOTES
F.BF.3 Identify the effects of h and k (the vertex) on the graph
of f(x). Also, A.CED.1 F.IF.4,6
Domain and Range: Summary:
Domain: Always
Range: Always
or
4.1 Vertex Form or a quadratic equation CLASS NOTES
F.BF.3 Identify the effects of h and k (the vertex) on the graph
of f(x). Also, A.CED.1 F.IF.4,6
a=
a=
a=
a=
h=
h=
h=
h=
k=
k=
k=
k=
4.1 Vertex Form or a quadratic equation CLASS NOTES
If there's no a then a=
If there's no h then h=
If there's no k then k=
F.BF.3 Identify the effects of h and k (the vertex) on the graph
of f(x). Also, A.CED.1 F.IF.4,6
4.1 Vertex Form or a quadratic equation CLASS NOTES
F.BF.3 Identify the effects of h and k (the vertex) on the graph
of f(x). Also, A.CED.1 F.IF.4,6
dolphin.
4.1 Vertex Form or a quadratic equation CLASS NOTES
HW 4-1
Do:
Due: