the equation of a curve is given as y+4=(x-1)^2

Answer 1

To find the equation of the curve given by y+4=(x-1)^2, we need to rearrange the equation to the standard form y = f(x).

Starting with y + 4 = (x - 1)^2, we subtract 4 from both sides:

y = (x - 1)^2 - 4

Expanding the square, we have:

y = (x^2 - 2x + 1) - 4

Simplifying further:

y = x^2 - 2x - 3

Therefore, the equation of the curve is y = x^2 - 2x - 3.