# How do you graph y=-sqrt(x-2)+2?

Aug 22, 2016

See explanation

#### Explanation:

Note: If $x - 2 < 0$ then you are into complex numbers.

Thus only calculate for $x \ge 2$

Produce a table of values and plot $x$ against $y$

Note that the x-intercept is at y=0. In which case $- \sqrt{x - 2} = - 2$

So $x - 2 = 4 \implies x = 6$