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To identify the dilation of a parabola, examine the coefficient of the quadratic term in its equation, typically in the form (y = ax^2 + bx + c). The value of (a) determines the dilation: if (|a| > 1), the parabola is narrower (stretched), while (|a| < 1) indicates it is wider (compressed). Additionally, a negative (a) reflects the parabola across the x-axis. Thus, the absolute value of (a) directly influences the shape and width of the parabola.

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How do you graph a dilation?

To graph a dilation, first identify the center of dilation and the scale factor. For each point of the original figure, measure the distance from that point to the center of dilation, then multiply that distance by the scale factor to find the new distance from the center. Plot the new points at these distances, and connect them to form the dilated figure. Ensure that the orientation remains the same and that the shape is proportional to the original.


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.


How do you write an equation of a parabola with vertex at the origin and the given focus 60?

To write the equation of a parabola with its vertex at the origin (0, 0) and a focus at (0, 60), you first identify the orientation of the parabola. Since the focus is above the vertex, the parabola opens upwards. The standard form of the equation for a parabola that opens upwards is ( y = \frac{1}{4p}x^2 ), where ( p ) is the distance from the vertex to the focus. Here, ( p = 60 ), so the equation becomes ( y = \frac{1}{240}x^2 ).


Is a parabola the same as a parabolic curve?

No. If you tilt a parabola, you will still have a parabolic curve but it will no longer be a parabola.


What is the parabola effect?

what are the effects of the sign a and n to the parabola

Related Questions

What is the y-coordinate of the vertex of the parabola that is given by the equation below?

We will be able to identify the answer if we have the equation. We can only check on the coordinates from the given vertex.


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.


Is a parabola the same as a parabolic curve?

No. If you tilt a parabola, you will still have a parabolic curve but it will no longer be a parabola.


Parabola is the point at which the parabola is at its lowest or highest point?

A parabola is NOT a point, it is the whole curve.


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.


What is the parabola effect?

what are the effects of the sign a and n to the parabola


What Term means the expansion of?

Dilation


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.


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.


What is the midpoint of the parabola between the focus and the directrix?

It is the apex of the parabola.


When was Parabola - song - created?

Parabola - song - was created in 2001.


What is the procedure for dilation of the kidney?

The procedure for dilation of the kidney?