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Q: What is the standard form of the equation of a parabola that opens up or down?
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What is the standard equation of a parabola that opens up or down and whose vertex is at the origin?

focus , directrix


Given the standard equation for a parabola opening up or down which way does a parabola open when the coefficient of the x2 term a is positiveUp or down?

In that case it opens upwards.


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 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 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.


When will parabola open down?

In classic geometry, it opens down when the directrix is above the focus.In analytical (coordinate) geometry, if the equation of the parabola isy = ax^2 + bx + c, it opens down if a < 0.


Given the standard equation for a parabola opening up or down which way does a parabola open when the coefficient of the x2term a is negative Up or down?

down


What is the standard equation for vertex at origin opens down 1 and 76 units between the vertex and focus?

Since the vertex is at the origin and the parabola opens downward, the equation of the parabola is x2 = 4py, where p &lt; 0, and the axis of symmetry is the y-axis. So the focus is at y-axis at (0, p) and the directrix equation is y = -p. Now, what do you mean with 1 and 76 units? 1.76 units? If the distance of the vertex and the focus is 1.76 units, then p = -1.76, thus 4p = -7.04, then the equation of the parabola is x2 = -7.04y.


Determine whether the parabola y equals -x2 plus 15x plus 8 opens up down left or right?

when you have y=+/-x2 +whatever, the parabola opens up y=-(x2 +whatever), the parabola opens down x=+/-y2 +whatever, the parabola opens right x=-(y2 +whatever), the parabola opens left so, your answer is up


Is it true graph is reflected about the x-axis and the parabola opens down?

No. A parabola can open up or down.


The maximum or minimum of a parabola depending on whether the parabola opens up or down?

A parabola opening up has a minimum, while a parabola opening down has a maximum.


What is maximum or minimum of a parabola depending on whether the parabola opens up or down?

Vertex