What is the axis x^2-y=4 ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

axis x^2-y=4

axis

x^{2} - y = 4

x = 0

Solution steps

x^{2} - y = 4

Rewrite

x^{2} - y = 4

in the standard form:

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

Therefore parabola properties are:

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

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 = - x^{2} + 18 x - 79

y = 12 x^{2} + 8 x - 15

x^{2} + 12 x + y + 40 = 0

y^{2} + 4 x = 7

y = 8 x - 2 x^{2}