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Q: How does the coefficient of a affect the way the parabola opens?
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Which way does a parabola open when the coefficient of its y2term a is negative?

Nose points right, opens to the 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.


Which way does a parabola open when the coefficient of its x2term a is negative?

DOWN!


How do you get a parabola with only one x intercept?

To have a parabola with only one x-intercept, the vertex of the parabola must lie on the x-axis. This means the parabola opens either upwards or downwards, depending on the coefficient of the squared term in the equation. If the coefficient is positive, the parabola opens upwards, and if it is negative, the parabola opens downwards. By adjusting the coefficients in the equation of the parabola, you can position the vertex such that there is only one x-intercept.


Which way does a parabola open when the coefficient of its y2-term is negative?

LEFT


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 way does the parabola open if a is greater than 0?

If a is greater than zero then the parabola opens upward.


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


Which way does a parabola open when the coefficient of its x2 term a is positive?

It is like the letter U.


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


Which way does a parabola open when the coefficent of its x2-term a is negative?

Opens downward.


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