Ana asked in Science & MathematicsMathematics · 11 months ago

x²-10x+8y+41=0 in parabola h and k?

Update:

Finding vertex, focus, directrix, axis of symmetry and endpoints

1 Answer

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  • Pope
    Lv 7
    11 months ago

    Complete the square and write the equation in standard form.

    x² - 10x + 8y + 41 = 0

    x² - 10x = -8y - 41

    x² - 10x + 25 = -8y - 16

    (x - 5)² = 4(-2)(y + 2)

    vertex: (5, -2)

    focus: (5, -4)

    directrix: y = 0

    axis: x = 5

    A parabola has no endpoints.

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