Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

Completing the square maths GCSE - negative or positive point?

Hi, I'm very confused on an aspect about completing the square.

When you are finding the minimum of the graph/equation, are the y and x values negative or positive, and vice versa for finding the maximum.

Any help would be appreciated thank you.

2 Answers

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  • 1 month ago
    Favourite answer

    The sign of the coefficient on the x² term tells you the type of parabola:

    - if 'a' is positive (like y = 3x²), then you have an upward-facing parabola and the vertex is a *minimum* with the rest of the graph above it.

    - if 'a' is negative (like y = -3x²), then you have a downward-facing parabola and the vertex is a *maximum* with the rest of the graph before it.

  • Dixon
    Lv 7
    1 month ago

    Any combination is possible.

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