00:01
Alright, so this question is asking us to figure out which function matches the graph in the image.
00:07
Now the first thing that's important to notice is that we're talking about square root functions.
00:13
And when we're talking about a square root function, we're talking about the parent function that looks like this.
00:19
Kind of half of a parabola.
00:22
And the equation for our transformations for our parent function is y equals a to the square root of x minus h plus k.
00:34
And now these a, h, and k each do different things to our parent function.
00:41
This a value is going to dilate it.
00:45
So you're going to stretch or shrink it.
00:47
And then also if it's negative, it's going to flip our parent function.
00:53
This h value represents shifts to the left slash right.
00:58
And then this k value represents shifts that are up and down.
01:08
Now, the first thing that i notice when i look at this function in comparison to our parent function is that it's flipped.
01:18
It looks like it's flipped upside down so that i know that my a has to be negative.
01:25
So using that, i know that i can automatically cancel out this option and this last option because our a is not negative...