Find the range of values of k for which the line y = kx – 1 will not cut the curve x(x + 2y) = 3.

the correct answer is x=-y+y²+3 orx=-y-y²+3

Step-by-step explanation:

I hope that this is the right answer cause this is the only correct answer that I came up with in my head and then I checked my work with a calculator for math questions.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this