Answer:
Below
Step-by-step explanation:
What transformations are applied to the graph? Well...
- If you were to look at this function's parent graph, it would extend from quadrant 1 to quadrant 2. But as we can see, this graph extends from quadrant 4 to quadrant 3.... this tells us that there has been a reflection in the x-axis. An easier way to tell is that the graph looks like it has been flipped upside down
- This graph has shifted both horizontally and vertically. We know this because the vertex which normally sits at (0,0) is now at (-1,2).
So the transformations applied are :
- A reflection in the x-axis
- a horizontal translation 1 unit to the left
- a vertical translation 2 units up
Create an equation for this graph
Here is the parent equation for this type of function :
f(x) = | x |
Apply the transformations :
f(x) = - | x + 1 | + 2
* remember that when a graph is translated horizontally that it is placed inside the brackets, and vertical translations are outside of the brackets
* if it is shifted to the right the sign is negative, left is positive
Hope this helps! Best of luck <3
