Download presentation

1
**6-8 Graphing Radical Functions**

Todayβs Objective: I can graph radical functions

2
**Radical Functions Sketch the graph of π(π₯)= π₯ 2**

Sketch the inverse graph of π(π₯)= π₯ 2 Find the inverse equation of π(π₯)= π₯ 2 π¦=Β± π₯ Restrict the domain of f to x β₯ 0 π β1 (π₯)= π₯

3
**Radical Functions Sketch the graph of π(π₯)= π₯ 3**

Sketch the inverse graph of π(π₯)= π₯ 3 Find the inverse equation of π(π₯)= π₯ 3 Radical Functions: inverse of power functions π(π₯)= π₯ π β π β1 (π₯)= π π₯ Restrict Domain on even degree/index. π¦= 3 π₯ π β1 (π₯)= 3 π₯ No restriction on the domain.

4
**Transformation of π π₯ = π π₯**

π¦=Β±π π π₯ββ +π Translation: Vertical Translation: Horizontal π¦= 3 π₯ π¦= π₯ Up k units Right h units π¦= π₯ +π π¦= 3 π₯ββ Down k units Left h units π¦= π₯ βπ π¦= 3 π₯+β Dilation: π¦=π 3 π₯ Reflections π¦= π₯ Across x-axis Stretch: π>1 π¦=β π₯ Compression: Across y-axis 0<π<1 π¦= βπ₯

5
**Describe the transformation & sketch the graph π¦=2 π₯+4 π¦= π₯ β2 **

π¦=2 π₯+4 π¦= π₯ β2 Down 2 units Left 4 units Stretch by 2 Horz. Vert. x π₯ 1 4

6
**Describe the transformation, then graph**

π¦= 9π₯+18 π¦= 3 β8π₯β32 β2 Rewrite function in the form: π¦=π π₯ββ +π π¦= (π₯+ ) β2 β8 4 π¦=β2 3 π₯+4 β2 π¦= (π₯+ ) 9 2 Reflect across x Stretch by 2 Left 4 Down 2 π¦=3 π₯+2 Left 2 units Stretch by 3 6-8 p. 418:7-19 odds, odds

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google