Question

Convert the given equation into the other two forms. Label each form as standard, vertex, or intercept form.

Answer 1

y = x² - 4x - 5           standard form

y = (x - 5)(x + 1)         intercept form

y + 5 = x² - 4x

   +4              +4

y + 9 = x² - 4x + 4

y + 9 = (x - 2)²

     y = (x - 2)² - 9        vertex form

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y - 4 = -(x - 4)²  

  +4               +4

    y =  -(x - 4)²  + 4       vertex form

    y = -(x² - 8x + 16) + 4

    y = -x² + 8x - 16 + 4

    y = -x² + 8x - 12      standard form

    y = (-x - 6)(x + 2)      intercept form