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Opheliah
Opheliah asked in Science & MathematicsMathematics · 6 years ago

Which of following parabola has the lowest minimum value?

Parabola 1 g (x)= x^2-6x+16

Parabola 2 f (x)=2 (x+1)^2+7

A.they both have the same minimum value

B.Parabola 1

C parabola 2

D.neither both have maximum values

2 Answers

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  • ignoramus
    Lv 7
    6 years ago
    Favorite Answer

    y = x² - 6x +16

    dy/dx = 2x - 6

    2x - 6 = 0, so x = 3 is a minimum.

    At x = 3, y = 7.

    y = 2 (x +1)² + 7 = 2x² + 4x + 9

    dy/dx = 4x + 4

    4x + 4 = 0, so x = -1 is a minimum

    At x = -1, y = 7, which is the same as above.

    So the answer is (A).

  • Hrz
    6 years ago

    2

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