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If the parabola is f(x) = ax^2 + bx + cthen f(x) + k shifts up by k.

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Q: How can you tell if the parabola shifts up or down?
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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.


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.


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.


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?

right


How can you tell if a parabola moves up or down in an equation?

Look at the discriminant, B2 - 4AC, in the quadratic equation. As it goes from negative to positive, the parabola moves in the direction of its small end towards the X-axis. At zero, it touches the X-axis.