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Elenathehomeschooler

  • one year ago

Someone please help! Write a function for the graph described as a transformation of y=x^2 . 12. y=x^2 experiences a vertical stretch of factor 2 and then a shift right of 3 units.

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  1. jim_thompson5910
    • one year ago
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    |dw:1443826116841:dw|

  2. jim_thompson5910
    • one year ago
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    ok so we have the parent function y = x^2 |dw:1443826223302:dw|

  3. jim_thompson5910
    • one year ago
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    we know that "a vertical stretch of factor 2" is applied to this parent function what this does is basically make the graph twice as tall. In terms of the equation, we simply just multiply the x^2 by 2 |dw:1443826284551:dw|

  4. jim_thompson5910
    • one year ago
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    IF it were something like "vertical stretch by a factor of 9", then we'd have y = 9x^2

  5. jim_thompson5910
    • one year ago
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    let's copy y = 2x^2 to the next line |dw:1443826332751:dw|

  6. Elenathehomeschooler
    • one year ago
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    oh that is so simple

  7. jim_thompson5910
    • one year ago
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    yeah it's not too bad

  8. jim_thompson5910
    • one year ago
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    "shift right of 3 units" means we replace EVERY x with x-3 |dw:1443826400885:dw|

  9. jim_thompson5910
    • one year ago
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    notice how I'm using parenthesis

  10. Elenathehomeschooler
    • one year ago
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    Hey sorry my computer is giving me problems

  11. jim_thompson5910
    • one year ago
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    it's fine

  12. Elenathehomeschooler
    • one year ago
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    I think I get it. So would that be the answer ?

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