What is the axis x^2-10x-24y=-25-24 ?

The axis x^2-10x-24y=-25-24 is x=5

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axis x^2-10x-24y=-25-24

axis

x^{2} - 10 x - 24 y = - 25 - 24

x = 5

Solution steps

x^{2} - 10 x - 24 y = - 25 - 24

Rewrite

x^{2} - 10 x - 24 y = - 25 - 24

in the standard form

4 \cdot 6 (y - 1) = (x - 5)^{2}

Therefore parabola properties are:

(h, k) = (5, 1), p = 6

Parabola is of the form

4 p (y - k) = (x - h)^{2}

and is symmetric around the

y

-axis

Axis of symmetry is a line parallel to the

y

-axis which intersects the vertex:

x = 5

y \geq x^{2} - 9

y = 4 - 5 x^{2}

y = (x - 6) (x - 5)

(x + 1)^{2} = 2 (y + 2)

y = x^{2} + 81