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Earn +20 ptsQ: What way does a parabola open if a is negative?
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The equation below describes a parabola. If a is negative which way does the parabola open y ax2?
Down
When the parabola concave downward and upward?
If the number in front of the x squared is negative, then the parabola will open upwards. The opposite occurs when the number is positive.
What does changing the value of a from a negative number to a positive number cause the parabola to do?
open upward
Which way does a parabola open when the coeffienct y2-term a is positive?
right
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.
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