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Shifting, Reflecting, and Stretching Graphs

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Presentation on theme: "Shifting, Reflecting, and Stretching Graphs"— Presentation transcript:

1 Shifting, Reflecting, and Stretching Graphs
FUNCTIONS AND THEIR GRAPHS Shifting, Reflecting, and Stretching Graphs “ PRECALCULUS” –

2 “PRECALCULUS” – www.marlonrelles.com

3 “PRECALCULUS” – www.marlonrelles.com

4 “PRECALCULUS” – www.marlonrelles.com

5 Write the “PARENT FUNCTION” of each graph
“PRECALCULUS” –

6 𝑓(𝑥)= 𝑥−5 2 𝑓(𝑥)= 𝑥 2 +5 𝑓(𝑥)= 𝑥+5 2 𝑓 𝑥 = 𝑥 2 −5
𝑓(𝑥)= 𝑥−5 2 𝑓(𝑥)= 𝑥 2 +5 𝑓(𝑥)= 𝑥+5 2 𝑓 𝑥 = 𝑥 2 −5 “PRECALCULUS” –

7 “PRECALCULUS” – www.marlonrelles.com

8 7 up 7 up and 5 left 7 up and 5 right 7 down and 5 right
Write the equation of the function. 7 up 7 up and 5 left 7 up and 5 right 7 down and 5 right 7 down and 5 left “PRECALCULUS” –

9 7 up 7 up and 5 left 7 up and 5 right 7 down and 5 right
Write the equation of the function. 7 up 7 up and 5 left 7 up and 5 right 7 down and 5 right 7 down and 5 left “PRECALCULUS” –

10 “PRECALCULUS” – www.marlonrelles.com

11 “PRECALCULUS” – www.marlonrelles.com

12 “PRECALCULUS” – www.marlonrelles.com

13 Use a calculator to analyze the graphs.
𝑓(𝑥)= 𝑥 Use a calculator to analyze the graphs. 𝑓(𝑥)= 𝑥 𝑓(𝑥)=2 𝑥 𝑓(𝑥)= 𝑥+4 𝑓(𝑥)= 𝑥−4 𝑓(𝑥)= 𝑥 +4 𝑓(𝑥)= 𝑥 −4

14 “PRECALCULUS” – www.marlonrelles.com

15 “PRECALCULUS” – www.marlonrelles.com

16 “PRECALCULUS” – www.marlonrelles.com

17 NC Finals Released Question
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