What is the axis \Rightarrow y=0.5kx^2 ?

The axis \Rightarrow y=0.5kx^2 is x=0

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axis \Rightarrow y=0.5kx^2

axis

\Rightarrow y = 0.5 k x^{2}

x = 0

Solution steps

\Rightarrow y = 0.5 k x^{2}

Rewrite

\Rightarrow y = 0.5 k x^{2}

in the standard form:

4 \cdot \frac{1}{4 ( \frac{1}{\frac{\Rightarrow}{0.5 k}} )} (y - (- \frac{0}{\frac{\Rightarrow}{0.5 k}})) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, - \frac{0}{\frac{\Rightarrow}{0.5 k}}), p = \frac{1}{4 ( \frac{1}{\frac{\Rightarrow}{0.5 k}} )}

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

6 x^{2} + 12 y - 18 = 0

y = x^{2} + 6 x + 11

y^{2} = - 12 x

(x - 1)^{2} = 8 (y + 3)

y = 5 x^{2} + 4 x - 3