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When a parabola opens downward, it indicates that the leading coefficient of the quadratic function is negative. In this case, the vertex of the parabola represents the maximum point, and the arms of the parabola extend downward on either side. This configuration often occurs in functions of the form ( y = -ax^2 + bx + c ), where ( a > 0 ).
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Which way does a parabola open when the coefficient of its y term a is negative?
When the coefficient of the y term ( a ) in the equation of a parabola is negative, the parabola opens downward. This means that its vertex is the highest point on the graph. Conversely, if ( a ) were positive, the parabola would open upward.
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 is a negative?
A parabola opens downward when the coefficient of its (x^2) term is negative. This means that the vertex of the parabola represents a maximum point. In contrast, if the coefficient were positive, the parabola would open upward, indicating a minimum point at the vertex.
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
What way does a parabola open if a is negative?
Downwards
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 y term a is negative?
When the coefficient of the y term ( a ) in the equation of a parabola is negative, the parabola opens downward. This means that its vertex is the highest point on the graph. Conversely, if ( a ) were positive, the parabola would open upward.
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
