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Q: How does the value a affect the width of the parabola?
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How does the value of a variable affect the direction the parabola opens?

If the value of the variable is negative then the parabola opens downwards and when the value of variable is positive the parabola opens upward.


How does the value of c affect the direction the parabola opens?

if the value is negative, it opens downard


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.


When does a parabola have a minimum value?

A parabola has a minimum value when it looks like the letter U


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


To find the value of a in a parabola opening left or right subtract the x value of the parabola at the vertex from the x value of the point on the parabola that is one unit the vertex?

Above


How do you know if a parabola has a minimum or maximum value?

When you look at the parabola if it opens downwards then the parabola has a maximum value (because it is the highest point on the graph) if it opens upward then the parabola has a minimum value (because it's the lowest possible point on the graph)


The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5 What is the coefficient of the squared term in the parabola's equation?

The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5. The coefficient of the squared term in the parabola's equation is -3.


The vertex of this parabola is at 5 5 When the x-value is 6 the y-value is -1 What is the coefficient of the squared expression in the parabola's equation?

The vertex of this parabola is at 5 5 When the x-value is 6 the y-value is -1. The coefficient of the squared expression in the parabola's equation is -6.


In quadratic equations what determines the width of the parabola?

the first number out in front you pig


What is the name of the point you use to define a parabola?

All of the points on a parabola define a parabola. However, the vertex is the point in which the y value is only used for one point on the parabola.


The vertex of this parabola is at 4 -3 When the x-value is 5 the y-value is -6 What is the coefficient of the squared expression in the parabola's equation?

-3