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Adi3

  • one year ago

Will medal Please help. Sketch the following functions on the same set of axes as y = x^2. In each case, state the coordinates of the vertex. y = -(x-1)^2 + 3

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  1. Adi3
    • one year ago
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    @Jhannybean

  2. Adi3
    • one year ago
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    @dan815

  3. Adi3
    • one year ago
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    • one year ago
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    @CallMeKiki

  5. Adi3
    • one year ago
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  6. Adi3
    • one year ago
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  7. Adi3
    • one year ago
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    @IrishBoy123

  8. IrishBoy123
    • one year ago
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    |dw:1443858498605:dw|

  9. IrishBoy123
    • one year ago
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    |dw:1443858518127:dw|

  10. IrishBoy123
    • one year ago
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    ie take it step by step

  11. Adi3
    • one year ago
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    i didn't get that

  12. Adi3
    • one year ago
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  13. IrishBoy123
    • one year ago
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    ok late's start with \(y = x^2\) what does \(y = (x-1)^2\) look like?

  14. Adi3
    • one year ago
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    (x-1)(x-1), can't Foil it??

  15. IrishBoy123
    • one year ago
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    no need for that whereas y = 0 when x = 0 for \(y = x^2\), y = 0 when x = 1 for \(y = (x-1)^2\) it's a shift of the curve, yes?

  16. Adi3
    • one year ago
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    so it moves one to the right.

  17. IrishBoy123
    • one year ago
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    indeed!

  18. IrishBoy123
    • one year ago
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    now let's compare \(y = x^2 \) with \(y = x^2 +3\) that's just another shift

  19. Adi3
    • one year ago
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    so it moves 3 point up.

  20. IrishBoy123
    • one year ago
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    indeed now what about \(y = x^2\) and \(y = -x^2\) ??

  21. Adi3
    • one year ago
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    reflect horizontally????

  22. IrishBoy123
    • one year ago
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    yes, you can see it that way. a reflection in the horizontal axis or a 180 rotation. either is good |dw:1443859072630:dw|

  23. IrishBoy123
    • one year ago
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    in your case you have all three at once, ie the horizontal and vertical shifts and the reflection \(y = x^2 \rightarrow y = -(x-1)^2 + 3\)

  24. IrishBoy123
    • one year ago
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    hence |dw:1443859195875:dw|

  25. Adi3
    • one year ago
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    thank you. a lot. really needed help!!!!!!!!, thank you mate.

  26. IrishBoy123
    • one year ago
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    mp!

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