Question

Need answers for the 2 bottom questions

Answer 1

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