4.2 Standard Form of a Quadratic Function part 2

11/4/2013
You Need:
Monday, 11/4
No calculators
Graph paper (if we have time to start on HW)
Textbook
2nd Period: New seating chart on the front left
counter.
5th period: Remember to sit in your new seats!
On your desk to be graded during BW:
Assignment #46:
Pg. 199 #39, 44, 47 (describe what you do and don’t
know about the equation), 48,49-54, 59,62-64,70-72
Example for Bellwork:
Write each equation in standard form
=2 −3
+1
BW 11/4/13 – Write each in standard form
1) = 3 + 2
2) = − 5
3) = 4 + 7
4) = −
−1
+2
1
−3
2
−8
Memorize! – It’s not on the EOC reference sheet
= + + Vertex: − , − Axis of Symmetry: x = −
Vertex form IS on the reference sheet.
However, you need to know how to use the
information there. I may still give you a
quiz on vertex form, but you will be
allowed to use the EOC reference sheet.
Y-intercept: (0, )
1
11/4/2013
Remember: No Calculator 4.1-4.3 Quiz
is tentatively this Friday!
4.1-4.3 Quiz: 12 questions. 2 Graphing. 2 Explanation
questions.
You need to be able to: Graph a quadratic by hand
from standard form and vertex form.
Name the vertex, domain, range, axis of symmetry,
maximum or minimum value from standard form OR
vertex form.
Rewrite an equation in standard form in vertex form.
*Write a quadratic equation to represent a real world
situation.
*these items are ones we have not practiced in class yet but WILL
practice Tuesday and the block day
4.1-4.3 Quiz: 12 questions. 2 Graphing. 2 Explanation
questions.
*Write an equation in standard form when given 3
ordered pairs.
During the Quiz I will check random
Bellwork assignments from your
notebook from this 9 weeks only.
Write an equation in vertex form for the graph of a
given parabola.
*2 Explanation questions where you need to
understand each component of a parabola.
*these items are ones we have not practiced in class yet but WILL
practice Tuesday and the block day
48
4.2 Standard Form of a Quadratic
Function
You need to be able to do 3 things:
1. Look at an equation in Standard Form and give the
minimum, maximum, domain, range, vertex, axis of
symmetry, and y-intercept.
2. Graph a function given in standard form.
3. Convert a function given in Standard Form to Vertex
Form
2
11/4/2013
2. Graph a function given in standard form. = + + 2. Graph a function given in standard form. = + + Find the vertex using − , − Then use a t-chart to get two other points – one to the right and one
to the left of the vertex.
Use the y-intercept wisely!
3. Convert a function given in Standard Form to Vertex Form
= + + = −ℎ
+
3. Convert a function given in Standard Form to Vertex Form
Step 1: Identify a and b.
Step 2: Find the x-coordinate of the vertex
Step 3: Substitute the x-coordinate back in to
solve for the corresponding y-coordinate.
Write your answer – you now have everything
you need: a, h, & k.
3. Convert a function given in Standard Form to Vertex Form
= 2 + 10 + 7
Pg. 200 #44
What were the transformations?
= −0.25 + 3
3
11/4/2013
Pg. 200 #47
2nd Period: Pg. 200 #48
Describe the family of quadratic functions whose
members each have (3,4) as their vertex.
Pg. 200 #63a
4