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Given a straight line (a directrix) and a point (the focus) which is not on that line, a parabola is locus of all points whose distance form the directrix is the same as its distance from the focus.

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9y ago

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What best describes a single fixed point that is the same distance from the parabola as the directrix is from the parabola?

Locus


The equation below describes a parabola. If a is negative which way does the parabola open y ax2?

Down


The equation y -3x2 describes a parabola. Which way does the parabola open?

The given terms can't be an equation without an equality sign but a negative parabola opens down wards whereas a positive parabola opens up wards.


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!].


Can you solve X2 plus Y equals 63?

No you can't. There is no unique solution for 'x' and 'y'. The equation describes a parabola, and every point on the parabola satisfies the equation.


Which equation describes a parabola that opens left or right and whose vertex is at the point (hv)?

The equation that describes a parabola opening left or right with its vertex at the point ((h, k)) is given by ((y - k)^2 = 4p(x - h)), where (p) determines the direction and width of the parabola. If (p > 0), the parabola opens to the right, while if (p < 0), it opens to the left. Here, ((h, k)) represents the vertex coordinates.


What is 2xsquared plus 10x plus 25?

2x2 + 10x + 25 is a quadratic expression. It describes a parabola.


The equation below describes a parabola. If a is positive which way does the parabola open y ax2?

right apex. hope that helps


Is y equal xsquare minus 4 a linear function?

No. That function describes a parabola who's vertex is at the point (0, -4).


What equation describes a parabola that opens up or down and whose vertex at the point (hv)?

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.


How do you find the endpoints of a parabola when you have the function of the line?

A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.


What equation describes a parabola that opens left or right and whose vertex is at the point h v?

The equation of a parabola that opens left or right with its vertex at the point ((h, v)) is given by ((y - v)^2 = 4p(x - h)), where (p) is the distance from the vertex to the focus. If (p > 0), the parabola opens to the right, and if (p < 0), it opens to the left.