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∙ 12y agodown
Wiki User
∙ 12y agoIf the coefficient of x2 is positive then the parabola is cup shaped (happy face). If the coefficient of x2 is negative then the parabola is cap shaped (gloomy face).
right
In that case it opens upwards.
There is no such thing as a standard equation. Furthermore, there are standard forms - all different - for the equation of a line, a circle, a plane, a parabola, an ellipse and so on. the question needs to be more specific.
At any point on the y-axis, the x-coordinate is zero. In the equation of the parabola, set x=0. Tidy it up, and you have " Y = the y-intercept ".
If the coefficient of x2 is positive then the parabola is cup shaped (happy face). If the coefficient of x2 is negative then the parabola is cap shaped (gloomy face).
right
left
In that case it opens upwards.
the standard form of the equation of a parabola is x=y2+10y+22
There are two standard form of parabola: y2 = 4ax & x2 = 4ay, where a is a real number.
This is called the 'standard form' for the equation of a parabola:y =a (x-h)2+vDepending on whether the constant a is positive or negative, the parabola will open up or down.
There is no such thing as a standard equation. Furthermore, there are standard forms - all different - for the equation of a line, a circle, a plane, a parabola, an ellipse and so on. the question needs to be more specific.
Normally a quadratic equation will graph out into a parabola. The standard form is f(x)=a(x-h)2+k
focus , directrix
x= ay² + by + c Apex :3
The standard equation for a Parabola with is vertex at the origin (0,0) is, x2 = 4cy if the parabola opens vertically upwards/downwards, or y2 = 4cx when the parabola opens sideways. As the focus is at (0,6) then the focus is vertically above the vertex and we have an upward opening parabola. Note that c is the distance from the vertex to the focus and in this case has a value of 6 (a positive number). The equation is thus, x2 = 4*6y = 24y