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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.
The equation below describes a parabola. If a is negative which way does the parabola open y ax2?
Down
Which way does a parabola open when the coefficient of its x2term a is negative?
DOWN!
Which way does a parabola open when the coefficient of its y2-term is negative?
LEFT
Which way does a parabola open when the coefficent of its x2-term a is negative?
Opens downward.
Which way does a parabola open when the coefficient of its x2 term a is a negative?
A parabola opens downward when the coefficient of its ( x^2 ) term (denoted as ( a )) is negative. This means that the vertex of the parabola is the highest point on the graph. Conversely, if ( a ) is positive, the parabola opens upward.
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 coefficient of its y2term a is negative?
Nose points right, opens to the 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 The equation y ax2 describes a parabola. If the value of a is positive which way does the parabola open?
If the value of ( a ) in the equation ( y = ax^2 ) is positive, the parabola opens upwards. This means that the vertex of the parabola is the lowest point, and as you move away from the vertex in either direction along the x-axis, the value of ( y ) increases. Conversely, if ( a ) were negative, the parabola would open downwards.
Does the parabola open up or down?
It does both depending if it is positive or negative
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
