How is the equation for a parabola written?

But the equation for a parabola can also be written in “vertex form”: In this equation, the vertex of the parabola is the point ( h, k) . You can see how this relates to the standard equation by multiplying it out: y = a ( x − h) ( x − h) + k y = a x 2 − 2 a h x + a h 2 + k .

How do you find the range of a parabola?

To find the range, we find the coordinates of the vertex of y = − x 2 − 6 x − 5 (either using a graphical calculator, or algebraically). We find that the parabola has a maximum point with coordinates ( − 3, 4).

What is the equation for the latus rectum of a parabola?

The latus rectum of a parabola is the chord that passes through the focus and is perpendicular to the axis of the parabola. 2 ( 4 a. a) Note: – Two parabola are said to be equal if their latus rectum are equal. For a parabola, the equation is y 2 = -4ax.

What is a parabola in vertex form?

The Vertex of a Parabola. The vertex of a parabola is the point where the parabola crosses its axis of symmetry. If the coefficient of the x 2 term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape.

Which is the highest vertex of a parabola?

If the coefficient of the x 2 term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape. The standard equation of a parabola is y = a x 2 + b x + c. But the equation for a parabola can also be written in “vertex form”:

How to calculate the mass of a milliequivalent?

This leads to the definition of an equivalent, or specifically a milliequivalent: mEq = dfrac{(mass)(valence)}{MW} This equation assumes that both mass and MW, or molecular weight (the same as molar mass but applied to molecules instead of single atoms), are given in milligrams.

How to convert milligram to milliequivalents ( mEq )?

Then, this last equation is converted to milliequivalents (mEq) by dividing both sides by 1000, which yields the equation above. As a shortcut, then, the equation can be used remembering that in this instance, the unit of milligram is affixed to the molecular weight.]