What is the axis y=25x^2-100 ?

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axis y=25x^2-100

axis

y = 25 x^{2} - 100

x = 0

Solution steps

y = 25 x^{2} - 100

Rewrite

y = 25 x^{2} - 100

in the standard form:

4 \cdot \frac{1}{100} (y - (- 100)) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, - 100), p = \frac{1}{100}

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 = 0

y = \frac{x ^{2} + x}{2}

y = 3 x^{2} - 8 x - 3

x = (3 y - 4) (4 y - 3) - 2 y

y = - 2 x^{2} - 16 x - 25

y = 2 x^{2} - x - 1