A parabola with equation y^2=4ax for constant a is translated by the vector (2,3) to give the curve C. The curve C passes through the point (4,7), what is the value of a?
Invert the translation of (2,3) to get the parabola passing through the point (4,7)-(2,3)=(2,4). This is the same as saying that y=4 when x=2, substitute this into your equation y^2=4ax to get a=2.This will be seen easier with a picture of the parabola and the curve C.
GV
Answered by Gabriel V. • Further Mathematics tutor
3430 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸How do you show that the centre of a group is a subgroup
Find the general solution to the differential equation: d^2y/dx^2 - 8 dy/dx +16y = 2x
Using de Moivre's theorem demonstrate that "sin6x+sin2x(16(sinx)^4-16(sinx)^2+3)"
Why does e^ix = cos(x) + isin(x)