answersLogoWhite

0

You set the derivative equal to zero and solve the equation. For example y = x^2 + 5x +7 is the equation of a parabola. dy/dx = 2x +5. Setting 2x +5 = 0 then x = -5/2. When x = -5/2 y = 3/4. This is the minimum. We know it's a minimum and not a maximum because when x is large y is large.

User Avatar

Wiki User

17y ago

Still curious? Ask our experts.

Chat with our AI personalities

TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
BeauBeau
You're doing better than you think!
Chat with Beau
BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake

Add your answer:

Earn +20 pts
Q: How do you find the maximum or minimum point of a parabola?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Other Math

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.


How do you know if a point is a maximum or a minimum?

Usually at the minimum or maximum of a function, one of the following conditions arises:The derivative is zero.The derivative is undefined.The point is at the end-points of the domain that is being considered (or of the naturally-defined domain, for example, zero for the square root).This will give you "candidate points"; to find out whether each of these candidate points actually is a maximum or a minimum, additional analysis is required. For example, if the second derivative is positive, you have a minimum, if the second derivative is negative, you have a maximum - but if it is zero, it may be a maximum, a minimum, or neither.


How do you find relative minimum and maximum according to a graph in math?

Any graph should be titled and have maximum and minimum values listed on it. The minimum values are usually on the bottom left and the maximum values are on the top right and bottom right of the graph.


How do you find a range in numbers?

the range of the number is the maximum minus the minimum.


How do you find the range using the subtraction method?

Range = Maximum - Minimum