# A parabola has a Vertex at (4,-2) and a Focus at (6,-2). Find the equation of the parabola

Discussion in 'Calculator Requests' started by math_celebrity, Jan 30, 2017.

Tags:

A parabola has a Vertex at (4,-2) and a Focus at (6,-2). Find the equation of the parabola and the lotus rectum.

Equation of a parabola given the vertex and focus is:
(xh)^2 = 4p(yk)

The vertex (h, k) is 4, -2
The distance is p, and since the y coordinates of -2 are equal, the distance is 6 - 4 = 2.
So p = 2

Our parabola equation becomes:
(x - 4)^2 = 4(2)(y - -2)
(x - 4)^2 = 8(y + 2)

Latus rectum of a parabola is 4p, where p is the distance between the vertex and the focus
LR = 4p
LR = 4(2)
LR = 8

## Related pages

expand the binomiallength of triangle sides calculatorprime factorization of 550critical z value calculator two tailedroot calculatersimplify square root of 108factor the trinomial solversolving algebra calculatorparabola equation finderalgebra calculator fractions with variablespascal triangle solverhow to find critical value in excelchinese reminder theoremordering decimals calculatorsynthetic division factoringdivide remainder calculatorequation word problem solverpolynomial equation calculatorpolygons and diagonalsmarkup based on cost calculatorkinematic equations solvermethod of substitution calculatorpedro pepperspoisson probability distribution calculatorsimplifying the square rootgcf calculator with exponentsalgebra math solverdivisibility numbersliquid mixing calculatorproduct of polynomials solvermultiplying square roots with exponentsfactoring binomial calculatormath soup calculatorfinding the radius of a circle calculatorhow to calculate markdown percentageinterval notation calculatorprobability of aubsimplify and expand calculatormicrogram to centigramwrite the ratio as a fraction in simplest form calculatorcalculating retail markupvariation constant calculatorsummation on calculatordepreciation straight line calculatorsquare binomial calculatorcounting cribbage handsmean of hypergeometric distributionsquare root expression simplifierchi squared critical valuefind the sum of the arithmetic series calculatormorse code transaltorconvert binary to octal calculatorequation of alinestock variance calculatoradd and subtract rational expressions calculatorsolving identities calculatorconsecutive integersquadratic equation standard form calculatortrigonometry bearingssolve substitution method calculatormodular exponentialsimplifying fractions with negative exponents calculatordirect variation in mathintercept graph calculatorcalculate angles of a trianglecalculate the 3rd side of a trianglechinese remainder theorem problemssimplify square root 96long division polynomials helphow to do kinematic equationsadding integer word problemstwo equations two unknowns calculatorequation finder from pointsmidpoint distance calculatorare the lines parallel perpendicular or neitherpemdas calculator onlineclassify trianglesmaths tutor online free help