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What is c in a parabola?

Updated: 12/12/2022
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8y ago

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It is a constant that determines the y-coordinate of the point at which the parabola crosses the y-axis.

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8y ago
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Q: What is c in a parabola?
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In a parabola equation what are you looking for?

An equation that when plotted produces a parabola is a quadratic equation of the form y = ax2 + bx + c where a, b and c are constants.


What is the equation of a horizontal parabola?

X = Ay2 + By + C


What is Equation of a parabola?

y= ax2+bx+c


How do you find a parabola opening up or down?

If you can mash the equation for the parabola into the form Y = Ax2 + Bx + C, then the parabola opens up if 'A' is positive, and down if 'A' is negative.


What is the general shape of a graph of a quadratic function in the form yax2 c?

y = ax2 + c is a parabola, c is the y intercept of the parabola. It also happens to be the max/min of the function depending if a is positive or negative.


How would you check correctness of a parabola?

The answer depends on what information you have and what form you are checking.The functional form of a parabola is y = ax2+ bx + c where a, b and c are real and a >0. If that is the case then, functionally it is a parabola.The graph of a parabola has a single turning point and is symmetric about its axis. But that is not enough. The graph of y = ax4+ bx2 + c or y = ax6+ bx3+ c have similar shapes but they are not parabolas.Find the axis. This should be easy because the parabola is symmetric about its axis. Draw a number of lines parallel to the axis. Where they meet the parabola, reflect them. These reflected lines should all meet at the same point which is the focus of the parabola.


What is the equation for a parabola?

The general equation for a parabola is y = ax^2 + bx + c, where a, b, and c are constants that determine the shape, orientation, and position of the parabola.


What direction does the parabola open?

If the equation of the parabola isy = ax^2 + bx + c, then it opens above when a>0 and opens below when a<0. [If a = 0 then the equation describes a straight line, and not a parabola!].


How do you find the zeros in a parabola?

If the equation of the parabola isy = ax^2 + bx + c then the roots are [-b +/- sqrt(b^2-4ac)]/(2a)


How do you solve for roots in a parabola?

If the equation of the parabola isy = ax^2 + bx + c then the roots are [-b +/- sqrt(b^2-4ac)]/(2a)


What is the formula for a parabola?

The general form is y = ax2 + bx + c where a b and c are constants and a is not 0


Equation of parabola that has y as axis of symmetry?

y = ax^2 + c where a and c are constants and a is not 0.