How do you graph the equation by plotting points y = 2 sqrt (x) + 3y=2x+3?

1 Answer
Mar 11, 2016

x >=0. and y>=3x0.andy3. The graph is semi-parabola (y-3)^2=4x(y3)2=4x. It is upper half, including vertex at (0, 3). Passes through (0, 3), (9, 9), (16, 11),...(n^2, 2n+3)(n2,2n+3), ......

Explanation:

Indeed, interesting.
Axis of the parabola is y = 3. Focus is (1, 3).
Note that the mirror image about y = 3 is given by
y=-2sqrtx+3y=2x+3