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Does a parabola always have roots and a vertex?
An x2 parabola will always have one vertex, but depending on the discriminant of the function (b2-4ac) the parabola will either have 2 roots (it crosses the x-axis twice), 1 repeating root (the parabola meets the x-axis at a single point), or no real roots (the parabola doesn't meet the x-axis at all)
How do you create an equation for a parabola?
An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.
A parabola always has at least one and at most two zeros?
Nope. False.
Is a graph of a quadratic function always a parabola?
No. It can also be a circle, ellipse or hyperbola.
What is the domain and range yx2?
y=x^2
The parabola for the function will point in which direction yx2 3x-4?
upward
What is the shape of the graph of each function yx2 -8?
10
How do you solve problems like yx2-5x-6 yx2-7x 6 yx2 7x 6 yx2 5x-6 yx2-5x-6 yx2 5x 4 yx2-3x 2?
dsvcvWv
What is the diameter of a parabola?
It is the bisector of any 2 parallel chords drawn to the parabola. It is always parallel to the axis of the parabola.
Does a parabola always have roots and a vertex?
An x2 parabola will always have one vertex, but depending on the discriminant of the function (b2-4ac) the parabola will either have 2 roots (it crosses the x-axis twice), 1 repeating root (the parabola meets the x-axis at a single point), or no real roots (the parabola doesn't meet the x-axis at all)
Is a parabola always a function?
Yes, it is.
How can solve this question D2ydx2 -Y X2?
If you're looking to factor it, you can do it like so: d2ydx2 - yx2 = d3yx2 - yx2 = yx2(d3 - 1)
How do you create an equation for a parabola?
An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.
Why is the domain of a parabola all real numbers?
The domain of a parabola is always all real numbers because the domain represents the possible x values. The x values are shown on the horizontal axis or x axis. Because, in a parabola, the 2 sides of the parabola go infinitely in a positive or negative direction, there is always a y value for any x value that u plug in to the equation.
A parabola always has at least one and at most two zeros?
Nope. False.
Is a graph of a quadratic function always a parabola?
No. It can also be a circle, ellipse or hyperbola.
What is the domain and range yx2?
y=x^2
