5 Transformations.notebook February 24, 2016 Transformations Agenda Reminders Warm-Up Notes Summary Practice #1-7 Quiz Friday! HW 5.2 due Fri! Turn in Desmos Activity A. How many seconds aer the soccer is kicked does it reach a height of 50 meters? B. What is the value of f(4)? C. What are the value(s) of f(x) = 30? D. What is the maximum height of the soccer ball? E. What is the domain of this situaon ? F. What is the range of this situaon ? Essential Question: What are the effects of changing a, h, and k in the function y=a(x-h) 2 +k? As measured by summarizing the effects of a, h, and k. Warm-Up Wednesday The graph shows the height of a soccer ball from the me it is kicked to the me it hits the ground. Use this graph to answer the following quesons. Fold along this line Summary: Effects of “a” Summary: Effects of “c” Cut along these lines Summary: Effects of “c” Transformations Essential Question: What are the effects of changing a, h, and k in the function y=a(x-h) 2 +k? As measured by summarizing the effects of a, h, and k..
Transcript
5 Transformations.notebook February 24, 2016
TransformationsAgenda
Reminders
Warm-Up
Notes
Summary
Practice #1-7
Quiz Friday!
HW 5.2 due Fri!
Turn in Desmos Activity A. How many seconds aer the soccer is kicked does it reach a height of 50 meters?
B. What is the value of f(4)?
C. What are the value(s) of f(x) = 30?
D. What is the maximum height of the soccer ball?
E. What is the domain of this situaon ?
F. What is the range of this situaon ?
Essential Question:
What are the effects of
changing a, h, and k in the
function y=a(x-h)2+k? As
measured by summarizing
the effects of a, h, and k.
Warm-Up WednesdayThe graph shows the height of a soccer ball from the me it is kicked to the me it hits the ground. Use this graph to answer the following quesons.
Fold along this line
Summary: Effects of “a” Summary: Effects of “c”
Cut along these lines
Summary: Effects of “c”
TransformationsEssential Question:
What are the effects of changing a, h, and k in the function y=a(x-h) 2+k?
As measured by summarizing the effects of a, h, and k..
5 Transformations.notebook February 24, 2016
Verbal:
Domain: Range:
Verbal:
Domain: Range:
1st Flap
TransformationsEssential Question:
What are the effects of changing a, h, and k in the function y=a(x-h) 2+k?
As measured by summarizing the effects of a, h, and k..
Verbal:
Domain: Range:
2nd Flap
TransformationsEssential Question:
What are the effects of changing a, h, and k in the function y=a(x-h) 2+k?
As measured by summarizing the effects of a, h, and k..
5 Transformations.notebook February 24, 2016
Verbal:
Domain: Range:
Verbal:
Domain: Range:
3rd Flap
TransformationsEssential Question:
What are the effects of changing a, h, and k in the function y=a(x-h) 2+k?
As measured by summarizing the effects of a, h, and k..
Verbal:
Domain: Range:
Verbal:
Domain: Range:
4th Flap
TransformationsEssential Question:
What are the effects of changing a, h, and k in the function y=a(x-h) 2+k?
As measured by summarizing the effects of a, h, and k..
5 Transformations.notebook February 24, 2016
Summaries
Summary: Effects of "a"
Summary: Effects of "k"
Summary: Effects of "h"
On the bottom of your foldable write a summary of what changing the
coefficient or constant does to the graph of the quadratic function.
Think about what happens if "a"is a fraction, a whole number, or negative.
TransformationsEssential Question:
What are the effects of changing a, h, and k in the function y=a(x-h) 2+k?
As measured by getting 80% correct on the homework.
Tonight's HW: #1-7
5 Transformations.notebook February 24, 2016
HW HELP: TransformationsNO WORK = NO CREDIT = NO KIDDING!
1. If c is positive, the graph shifts UP. If c is negative, the graph shifts DOWN.2. A fraction will make the graph wider and a whole number will make the graph more narrow.3. A4. C5. C6. B7. C
Help: Solutions:1. Try plugging in different types (positive & negative) of values for c in your calculator.2. Remember: FAT FRACTIONS!3. The coefficient is the number in front of x 2, so you are changing the value of "a" to a fraction.
4. Put both equations in your calculator and compare! (see right)
5. Plug the answer choices into the calculator to see which function matches the constraints.6. Only 2 of these choices are parent functions we know...choose wisely!7. The key word here is NOT!
HW HELP: Transformations Day 2NO WORK = NO CREDIT = NO KIDDING!
Help: Solutions:1. Look at the picture! The arrows point UP and the vertex is at (0,1)#24. Use the word bank and your notes to help! Try using your own words to explain.2. A reflection will flip the graph over, changing the direction of the arrows, but will keep the vertex the same.3. 4.
5. The parent function y=x2 always goes through the origin, opens up, and has the yaxis as the line of symmetry.
6. Try graphing x2 2 in y1 and check which answer choice goes down 5!
7. Remember, the origin is at (0,0). Try plugging in different values for c that match each answer choice (c<0 is negative!)
8. Small numbers (fractions & decimals) make the fattest graphs!
9. 10. Remember: fat fractions! ignore the negatives and order the coefficients
