## Presentation on theme: "6-8 Graphing Radical Functions"β Presentation transcript:

Todayβs Objective: I can graph radical functions

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 β1 (π₯)= π₯

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 β1 (π₯)= π π₯ Restrict Domain on even degree/index. π¦= 3 π₯ π β1 (π₯)= 3 π₯ No restriction on the domain.

Transformation of π π₯ = π π₯
π¦=Β±π π π₯ββ +π Translation: Vertical Translation: Horizontal π¦= 3 π₯ π¦= π₯ Up k units Right h units π¦= π₯ +π π¦= 3 π₯ββ Down k units Left h units π¦= π₯ βπ 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¦= βπ₯

Describe the transformation & sketch the graph π¦=2 π₯+4 π¦= π₯ β2
π¦=2 π₯+4 π¦= π₯ β2 Down 2 units Left 4 units Stretch by 2 Horz. Vert. x π₯ 1 4

Describe the transformation, then graph
π¦= 9π₯+18 π¦= 3 β8π₯β32 β2 Rewrite function in the form: π¦=π π₯ββ +π π¦= (π₯+ ) β2 β8 4 π¦=β2 3 π₯+4 β2 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