Unit 5 Day 1 ­ Translations with Quadratic and Absolute Value

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Warm Up Today you need: Your packet

How many squares are there?

(Do not count 1 by 1)

Unit 5 Day 1 ­ Translations with Quadratic and Absolute Value

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Learning Target:

I can write the parent functions with translations.

Unit 5 Day 1 - Translations of Quadratics and Absolute Value

Investigation:

[1] Graph the following in y1, y2 and y3 in your calculator. Use a "friendly" window (-9.4, 9.4, 1, -6.2, 6.2, 1)

y = x2

y = x2 + 2

y = (x + 4)2

What happens?

LT: I can write the parent functions with translations.

Unit 5 Day 1 ­ Translations with Quadratic and Absolute Value

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Investigation:

[2] Graph the following in y1, y2 and y 3 in your calculator.

y1 = x2

y2 = x2 + 4

y3 = x2 - 2

What happens?

LT: I can write the parent functions with translations.

Translations:

h translates:

k translates:

LT: I can write the parent functions with translations.

Unit 5 Day 1 ­ Translations with Quadratic and Absolute Value

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LT: I can write the parent functions with translations.

Examples: LT: I can write the parent functions with translations.

Unit 5 Day 1 ­ Translations with Quadratic and Absolute Value

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LT: I can write the parent functions with translations.

LT: I can write the parent functions with translations.

Unit 5 Day 1 ­ Translations with Quadratic and Absolute Value

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LT: I can write the parent functions with translations.

LT: I can write the parent functions with translations.

Unit 5 Day 1 ­ Translations with Quadratic and Absolute Value

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LT: I can write the parent functions with translations.

LT: I can write the parent functions with translations.

Unit 5 Day 1 ­ Translations with Quadratic and Absolute Value

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LT: I can write the parent functions with translations.

Unit 5 Day 1 ­ Translations with Quadratic and Absolute Value

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LT: I can write the parent functions with translations.

What happens if I replace x in an equation with (x-3)?

For example: y = |x|. What changes?

LT: I can write the parent functions with translations.

What happens if I replace y with (y+2)?

For example: y = |x|. What changes?

Unit 5 Day 1 ­ Translations with Quadratic and Absolute Value

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Mastery Work: WS #1 Translations

How are you doing? I can write the parent functions with translations.

(in packet)

Unit 5 Day 1 ­ Translations with Quadratic and Absolute Value

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Unit 5 Day 1 ­ Translations with Quadratic and Absolute Value

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