Graphing Square Root Function Can anyone help me graph the following function:
$ y = 2 \sqrt{x + 4} − 2$
I am new to graphing square roots.
 A: The way to graph this function would be to first notice what transformations have been applied to the parent graph.
Given $y=2\sqrt{x+4}-2$, we notice the following:


*

*The parent graph is the square root function: $f(x)=\sqrt{x}$

*There is a vertical stretch by a factor of $2$

*There is a horizontal translation by $4$ units to the left

*There is a vertical translation by $2$ units downwards


Knowing the transformations, can you apply these to the parent graph one by one in order to get your transformed function graph?
A: Hint:
Finding the $y$-intercept and the $x$-intercept is a good start.
$x$-intercept: is where the graph cuts the $x$-axis also known as the roots of the equation.
$$0 = 2\sqrt {x+4} -2 \implies 0 = \sqrt{x+4} -1 \implies 0 = x + 4 -1 \implies x=-3$$
$y$-intercept: is where the graph cuts the $y$-axis. 
$$y = 2\sqrt {0+4} -2 \implies y = 2\sqrt 4 -2 \implies y = 4 -2 = 2$$
A: Now the domain here is [-4,infinity) and the function is increasing and the range is [-2,infinity) and the graph starts at(-4,-2) , cuts x axis at(-4,0), y axis at (0,-2) and 
y tends to infinity as y tends to infinity. By using this you can easily draw the graph.
