Question

Find a fourth-quadrant point that is equally distant from (4, 1) and the y-axis.

Answer 1

@phi

Answer 2

did you sketch this first (to see what is what ) ?

Answer 3

I did plot the point (4, 1) but I don't really know what else to sketch.

Answer 4

It also helps to know the properties of a parabola
Have you learned about directrix and focus point ?

Answer 5

Nope

Answer 6

we could muddle through with algebra
or we can write down the equation of a parabola with focus (4,1) and directrix x=0

Answer 7

I haven't learned about focus or directrix, so we can muddle through with algebra.

Answer 8

ok, in that case, we have this picture