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Need answers for the 2 bottom questions

Need answers for the 2 bottom questions-example-1
User Yiding
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1 Answer

4 votes

Answer:

Below

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

User Alexey Orlov
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4.3k points