mbf 3ci - u4 - d2 - transforming quadratics - a & k values
TRANSCRIPT
MBF 3CI U4 D2 Transforming Quadratics a & k values complete.notebook
1
December 09, 2014
Warm Up:Identify the following key points on the given parabola:
vertex:
maximum or mimimum:
optimal value:
where optimal value occurs:
direction of opening:
x-intercept(s):
y-intercept:
10 8 6 4 2 0 2 4 6 8 10
10987654321
12345678910
x
y
http://www.fooplot.com
MBF 3CI U4 D2 Transforming Quadratics a & k values complete.notebook
2
December 09, 2014
Unit 4 Quadratic RelationsDay 2: y = ax2 + k
Today we will: 1. Explore how the graph of y =x 2 changes when when changing values of the coefficient and the constant2. Graph using the parent function and transformations
MBF 3CI U4 D2 Transforming Quadratics a & k values complete.notebook
3
December 09, 2014
The basic quadratic relation is __________________
What happens to this graph when we change the value of a?
For example
10 5 0 5 10
20
40
60
80
100
x
y
(to a number greater than 1)
Therefore if a > 1 then _____________
The bigger the value of a, the
MBF 3CI U4 D2 Transforming Quadratics a & k values complete.notebook
4
December 09, 2014
What happens to this graph when we change the value of a?(to a number less than 1, but greater than zero)
10 5 0 5 10
20
40
60
80
100
x
y
Therefore if a < 1, but > 0 then _____________
The smaller the value of a, the
MBF 3CI U4 D2 Transforming Quadratics a & k values complete.notebook
5
December 09, 2014
What happens to this graph when we change the value of a?(to a number less than 0, <negative number>)
10 5 0 5 10
1098765432
12345678910
x
y
Therefore if a < 1 then _____________
MBF 3CI U4 D2 Transforming Quadratics a & k values complete.notebook
6
December 09, 2014
WRITE THISy= ax2 + k
If a > 0 the parabola opens ______________
If a < 0 the parabola opens ______________
If a > 1 the parabola is____________ relative to y = x2
If a < 1 but > 0 the parabola ___________relative to y = x2
MBF 3CI U4 D2 Transforming Quadratics a & k values complete.notebook
7
December 09, 2014
5 4 3 2 1 0 1 2 3 4 5
1234567891011121314151617181920
x
y
What happens to this graph when we change the value of k?
Therefore if k > 0 then _____________
MBF 3CI U4 D2 Transforming Quadratics a & k values complete.notebook
8
December 09, 2014
What happens to this graph when we change the value of k?
5 4 3 2 1 0 1 2 3 4 5
1098765432
12345678910
x
y
Therefore if k < 0 then _____________
MBF 3CI U4 D2 Transforming Quadratics a & k values complete.notebook
9
December 09, 2014
WRITE THISy= ax2 + k
The value of k determine the __________ position
If k > 0, the vertex of the parabola is k units ______ the xaxis
If k < 0, the vertex of the parabola is k units ______ the xaxis
MBF 3CI U4 D2 Transforming Quadratics a & k values complete.notebook
10
December 09, 2014
Describe the shape and position of each parabola relative to the graph of y=x2
MBF 3CI U4 D2 Transforming Quadratics a & k values complete.notebook
11
December 09, 2014
10 8 6 4 2 0 2 4 6 8 10
1098765432
12345678910
x
y
10 8 6 4 2 0 2 4 6 8 10
1098765432
12345678910
x
y
Let's graph
10 8 6 4 2 0 2 4 6 8 10
1098765432
12345678910
x
y
10 8 6 4 2 0 2 4 6 8 10
1098765432
12345678910
x
y
10 8 6 4 2 0 2 4 6 8 10
1098765432
12345678910
x
y
MBF 3CI U4 D2 Transforming Quadratics a & k values complete.notebook
12
December 09, 2014
Homeworkpage 191 # 4a,b,f , # 7
Full solutions along with graphs ON GRAPH PAPER due at the beginning of next class.
QUIZ
Day 3: Tues. Dec. 9