Anonymous
Anonymous asked in Education & ReferenceHomework Help · 6 years ago

Why does the C parameter in standard form not equal the k parameter in vertex form?

Why does the "c" parameter in standard form, f(x) = ax^2 + bx + c, not equal the "k" parameter in vertex form, y= a (x-h) ^2 ?

Provide a mathematical argument based on algebraic work.

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  • 6 years ago
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    Emily

    Here is a simple argument .... assuming a, h and k are all non-zero:

    STANDARD FORM:

    f(x) = ax^2 + bx + c

    f(0) = c

    VERTEX FORM:

    f(x) = a (x-h) ^2 + k

    f(0) = ah^2 + k

    You should now see that ...

    f(0) = c = ah^2 + k

    c ≠ k unless h = 0

    Hope that helps

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