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y = ax^2 + bx + c

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10y ago

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How do you write an equation for a parabola in standard form?

To write an equation for a parabola in standard form, use the format ( y = a(x - h)^2 + k ) for a vertical parabola or ( x = a(y - k)^2 + h ) for a horizontal parabola. Here, ((h, k)) represents the vertex of the parabola, and (a) determines the direction and width of the parabola. If (a > 0), the parabola opens upwards (or to the right), while (a < 0) indicates it opens downwards (or to the left). To find the specific values of (h), (k), and (a), you may need to use given points or the vertex of the parabola.


What is the standard equation of a parabola?

There are two standard form of parabola: y2 = 4ax & x2 = 4ay, where a is a real number.


What is the standard equation of the parabola y3(x-4)2-22?

the standard form of the equation of a parabola is x=y2+10y+22


How do you rewrite the equation of a parabola in standard form?

To rewrite the equation of a parabola in standard form, you need to express it as ( y = a(x - h)^2 + k ) for a vertically oriented parabola or ( x = a(y - k)^2 + h ) for a horizontally oriented parabola. Here, ( (h, k) ) represents the vertex of the parabola, and ( a ) determines its direction and width. You can achieve this by completing the square on the quadratic expression.


How do you write 666 in standard form?

How do write 666 in standard form?


Can you write the equation of a parabola that doesn't cross the x-axis in factored form?

No.


How can you determine the orientation of a parabola when written in standard form?

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).


What is the standard form for a quadratic equation?

Normally a quadratic equation will graph out into a parabola. The standard form is f(x)=a(x-h)2+k


How do you write 2.35 in standard form?

It is already in standard form.


How do you write 0.0000001 in standard form?

That is the standard form!


How do you write 0.000135375 in standard form?

That IS the standard form.


How do you write 11.6 in standard form?

That is the standard form.