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How do you find a parabola opening up or down?
If you can mash the equation for the parabola into the form Y = Ax2 + Bx + C, then the parabola opens up if 'A' is positive, and down if 'A' is negative.
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
Is y equals 3x2 -7x plus 2 an up or down parabola?
It is an up parabola.
Is it true graph is reflected about the x-axis and the parabola opens down?
No. A parabola can open up or down.
How do you tell if a parabola opens up or down?
To determine if a parabola opens up or down, look at the coefficient of the quadratic term in its equation, typically in the form (y = ax^2 + bx + c). If the coefficient (a) is positive, the parabola opens upwards; if (a) is negative, it opens downwards. You can also visualize the vertex: if the vertex is the lowest point, it opens up, and if it's the highest point, it opens down.
What causes a parabola to shift up down left or right?
A parabola shifts vertically (up or down) when the constant term in its equation changes; for example, in the equation (y = ax^2 + bx + c), increasing (c) shifts the graph up, while decreasing it shifts it down. Horizontal shifts occur when the (x) variable is modified; for instance, in (y = a(x-h)^2 + k), changing (h) moves the graph left or right. Specifically, (h) determines the horizontal position, with (h > 0) shifting the parabola to the right and (h < 0) shifting it to the left.
The maximum or minimum of a parabola depending on whether the parabola opens up or down?
A parabola opening up has a minimum, while a parabola opening down has a maximum.
How do you find a parabola opening up or down?
If you can mash the equation for the parabola into the form Y = Ax2 + Bx + C, then the parabola opens up if 'A' is positive, and down if 'A' is negative.
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
Is y equals 3x2 -7x plus 2 an up or down parabola?
It is an up parabola.
Is it true graph is reflected about the x-axis and the parabola opens down?
No. A parabola can open up or down.
How do you tell if a parabola opens up or down?
To determine if a parabola opens up or down, look at the coefficient of the quadratic term in its equation, typically in the form (y = ax^2 + bx + c). If the coefficient (a) is positive, the parabola opens upwards; if (a) is negative, it opens downwards. You can also visualize the vertex: if the vertex is the lowest point, it opens up, and if it's the highest point, it opens down.
What is maximum or minimum of a parabola depending on whether the parabola opens up or down?
Vertex
To find the value of a in a parabola opening up or down subtract the y-value of the parabola at the vertex from the y-value of the point on the parabola that is one unit to the of the vertex?
To find the value of a in a parabola opening up or down subtract the y-value of the parabola at the vertex from the y-value of the point on the parabola that is one unit to the right of the vertex.
Determine whether the parabola y equals -x2 plus 15x plus 8 opens up down left or right?
when you have y=+/-x2 +whatever, the parabola opens up y=-(x2 +whatever), the parabola opens down x=+/-y2 +whatever, the parabola opens right x=-(y2 +whatever), the parabola opens left so, your answer is up
When does a parabola open down?
No, a parabola is the whole curve, not just a part of it.
How can solve the effect of a and q in a parabola?
In a parabola defined by the equation ( y = ax^2 + q ), the parameter ( a ) determines the direction and width of the parabola, while ( q ) represents the vertical shift. To solve the effect of ( a ), consider its value: if ( a > 0 ), the parabola opens upward and is narrower as ( |a| ) increases; if ( a < 0 ), it opens downward and becomes wider as ( |a| ) decreases. The parameter ( q ) shifts the entire parabola up or down by ( q ) units without altering its shape. Adjusting these parameters allows for a comprehensive understanding of the parabola's position and orientation in the coordinate plane.
