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You can tell by the presence or absence of a negative number for a in the form ax2+bx+c. So, for example, 4x2+2x+1 opens upwards, while -4x2+2x+1 opens downwards.

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Q: How can you tell which way a parabola will open just by looking at an equation?
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The equation below describes a parabola. If a is negative which way does the parabola open y ax2?

Down


How can you tell which way a parabola wil open just by lookig at the equation?

If you have the equation in the form y = ax^2 + bx + c (where "^2" means squared), if "a" is positive, the parabola opens upwards; otherwise it opens downwards.


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!].


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.


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

right apex. hope that helps


Given the standard equation for a parabola opening left or right which way does a parabola open when the coefficient of the y2-term a is positive?

right


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


Given the standard equation for a parabola opening left or right which way does a parabola open when the coefficient of the y2-term a is positive Left or right?

left


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.


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.


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.


How do you know if a parabola will open up or down by just looking at the equation?

when you write simple parabole eqn. y = x^2 it means when y = 9 x = -3 and x = +3 i.e x takes 2 values for one y. So graph has to open up. why "up" beacause eqn is for positive y.