4 Transformations.notebook

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February 21, 2017

Mar 20­8:32 PM

TransformationsAgenda

Reminders

Warm-Up

Notes

Summary

Practice #1-7

HW 3.7 Due TODAY!!

Quiz Friday!

HW 3.8 Due Friday!!

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Signed!!

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.

Tuesday Warm UpThe 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. 

Mar 20­8:32 PM

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..

4 Transformations.notebook

2

February 21, 2017

Mar 19­8:14 PM

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..

1st Flap

y=ax2

(a is positive)

y=ax2

(a is positive)

Mar 20­4:59 PM

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..

2nd Flap

y=ax2

(a is negative)

4 Transformations.notebook

3

February 21, 2017

Mar 19­8:14 PM

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..

3rd Flap

y=x+c2

Mar 19­8:14 PM

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..

4th Flap

y=(x+c)2

4 Transformations.notebook

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February 21, 2017

Mar 20­8:32 PM

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

4 Transformations.notebook

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February 21, 2017

Mar 20­8:32 PM

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!

Mar 20­8:32 PM

HW HELP: Transformations Day 2NO WORK = NO CREDIT = NO KIDDING!

1. C2. Reflection3. Answers vary4. Answers vary5. B6. B7. C8. D9. C10. B

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 

from smallest to largest.