answersLogoWhite

0


Best Answer

If you want the parameters a, b and c then you must know the values of x and y. Even in this case you will not be able to calculate unique values for a,b and c but rather get a set of answers which describes the relationship necessary between a,b and c that will satisfy your values for x and y.

Here is how to do that:

Start with the usual parabolic equation: y = ax^2 + bx + c

There is a standard formula to solve this equation for x when you want y to be zero (also called the 'roots' of the equation). That formula is x = (-b +/- sqrt ( 4ac - b^2 ) ) / 2a).

The sqrt means take the square root of what in parentheses. and +/- means the formula must be calculated twice, once using a plus in place of +/- and once using a minus.

Instead of y being zero we want to be able to make it any value we like but our formula only works for y being zero. So we need to subtract the y value from the original parabolic equation to make one side zero, that give us 0 = ax^2+bx + (c-y).

Now we can use the standard formula again , but this time with c-y in place of just c.

x = (-b +/- sqrt( 4a(c-y) - b^2 ) / 2a

Using this new formula, if you know x and y you can calculate a relationship between a,b and c that will always give you that value of x and y in a parabolic equation.

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you find a b and c in a parabolic equation of y equals a times x to the power of 2 plus b times x plus c?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the answer in standard form for 3 multiply by 10 to the power 8 multiply then the equation by the power 5?

There is no equation in that statement. There is only this 3 x 10^8. There has to be an equals sign, = , for there to be an equation. Please restate the term as an equality. Of course there is an equation: Answer = [3 times 10 to the eighth] to the fifth power


What is 7 to the power of 5 times by 7 to the power of 6 equals 7 to the power of 3 times by 7 to the power of k?

k would equal 8. you add the powers on one side of the equation together so you should end up with 7 to the power of 11 then you minus 7 to the power 3 from the opposite side of the equation leaving you with 7 to the power 8 equals 7 to the power k. you can then see that k is the equivalent of 8.


What degree polynomial equation is 4x3 plus 7x2 - 4x equals 0?

The "degree" is the highest power - in this case, the 3 in 4x3 (4 times to the third power).


How do you find work in the equation power equals work divided by time?

The definition of work is (force) times (distance). If you mean you're given the equation and you need to solve it for 'work', then you only need to multiply both sides of the equation by 'time', and you'll have (power) x (time) = (work)


What is negative one to the power of 4 equal?

-1 to the power of four equals -1 times -1 times -1 times -1. -1 times -1 equals 1 (since a negative times a negative equals a positive). (1 to the power of 2) 1 times -1 equals -1 (since a negative times a positive equals a negative). (1 to the power of 3) -1 times -1 equals 1. (1 to the power of 4)


Does voltage divided by watts equal the current?

Electric power is not defined as current divided by voltage. Electric power (Watts) is equal to amps times voltage


What is the variable in the equation 60 equals what times 15?

"Wat" is the variable.


Is P equals l times V an expression or formula?

its a equation


What is 3 times x equals 12?

An equation where x = 4


Equals force applied times distance moved?

This is the equation for "work."


What is 8 times 2 equals 4n?

An equation in the variable n.


What is y equals 6 times x plus 2?

You have to do an equation so tell us what it equals.