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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 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 do you call the graph of a quadratic equation?
A PARABOLA. If the coefficient of 'x^(2)' is positive (+), then the parabola is 'bowl' shaped. If the coefficient os 'x^(2)' is negative (-), then the parabola is 'umbrella' shaped. This shape of parabola has the general eq'n of y = (+/-) ax^(2( + bx + c For a parabola lying on its side ; open side to the right, then the general eq'n is ; y^(2) = 4ax.
How does the value a affect the width of the parabola?
In a quadratic equation of the form (y = ax^2 + bx + c), the value of (a) determines the width of the parabola. If (|a|) is greater than 1, the parabola is narrower, indicating that it opens more steeply. Conversely, if (|a|) is less than 1, the parabola is wider, meaning it opens more gently. The sign of (a) also affects the direction of the opening: positive values open upwards, while negative values open downwards.
The equation below describes a parabola. If a is negative which way does the parabola open y ax2?
Down
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.
When does a parabola open down?
No, a parabola is the whole curve, not just a part of it.
What do you call the graph of a quadratic equation?
A PARABOLA. If the coefficient of 'x^(2)' is positive (+), then the parabola is 'bowl' shaped. If the coefficient os 'x^(2)' is negative (-), then the parabola is 'umbrella' shaped. This shape of parabola has the general eq'n of y = (+/-) ax^(2( + bx + c For a parabola lying on its side ; open side to the right, then the general eq'n is ; y^(2) = 4ax.
