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To check the correctness of a parabola, you can verify its equation by ensuring it matches the standard forms, such as (y = ax^2 + bx + c) or (x = ay^2 + by + c). Additionally, plot key points, including the vertex, focus, and directrix, and confirm that they align with the expected properties of the parabola. Lastly, you can check for symmetry about the axis of symmetry and ensure that it opens in the correct direction based on the coefficient (a).

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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.


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.


How do you find the endpoints of a parabola when you have the function of the line?

A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.


What is Focus (34) directrix y -2?

The focus of a parabola is a specific point that defines its shape, while the directrix is a line used in the definition of a parabola. If the directrix is given as ( y = -2 ), the parabola opens either upwards or downwards. The focus would be located at a point above or below this directrix, depending on the orientation of the parabola. Specifically, for a parabola that opens upwards, the focus would be positioned at ( (h, k + p) ), where ( p ) is the distance from the vertex to the focus, and the vertex would be located at ( (h, -2 + p) ).


What is the trajectory of a projectile defined by?

Ignoring air resistance, it would be a parabola.

Related Questions

How would you check correctness of a parabola?

The answer depends on what information you have and what form you are checking.The functional form of a parabola is y = ax2+ bx + c where a, b and c are real and a >0. If that is the case then, functionally it is a parabola.The graph of a parabola has a single turning point and is symmetric about its axis. But that is not enough. The graph of y = ax4+ bx2 + c or y = ax6+ bx3+ c have similar shapes but they are not parabolas.Find the axis. This should be easy because the parabola is symmetric about its axis. Draw a number of lines parallel to the axis. Where they meet the parabola, reflect them. These reflected lines should all meet at the same point which is the focus of the parabola.


How would you check correctness of hyperbola?

the correctness of hyperbola can be determine by drawing a perpendicular and then rub it draw a parallel line with respect to the perpendicular line which you drawn if the intersect then your hyperbola is correct..


How you check your domicile certificate by number?

how to check correctness of domicile certificate east delhi


What the the vertex of a parabola?

The vertex would be the point where both sides of the parabola meet.


How would you use political correctness in sentence?

'I think political correctness has gone too far.'


What is the term used to check the correctness of the data in a database or spreadsheet application?

validate


How do you check formulas?

check the correctness of the relation dimensionally: S(n)=u+1/2a(2n-1)


What is the parabola?

A parabola is a type of graph that is not linear, and mostly curved. A parabola has the "x squared" sign in it's equation. A parabola is not only curved, but all the symmetrical. The symmetrical point, the middle of the parabola is called the vertex. You can graph this graph with the vertex, x-intercepts and a y-intercept. A parabola that has a positive x squared would be a smile parabola, and the one with the negative x squared would be a frown parabola. Also, there are the parabolas that are not up or down, but sideways Those parabolas have x=y squared, instead of y = x squared.


What is dry run in c plus plus terminology?

A manual check of the algorithm to ensure its correctness.


How do you check the correctness of HTML program?

Advanced web editors like Eclipse or Edit Plus show you tags in different colors and you can use them to identify the correctness of your code. Or you can run your HTML file in a web browser to check its correctness. HTML does not have a compiler like other programming languages because it is a markup language and not a programming language like java or C


How do you determine the narrowest parabola?

a parabola tht has the highes constant in front of x^2 is the narrowest parabola. let's say u have 2x^2+ 2x-1 and 1/2x^2+2x-1 the narrowest parabola would be the first equation.


What is half of parabola?

A curve. It would be called a parabolic curve.