Transformation involves changing the position and size of a function.
[tex](x,y)[/tex] will be transformed to [tex](-x,y+3)[/tex]
Let the parent function be (x,y)
Reflection across y-axis
The rule for reflection across the y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So, (x,y) will give (-x,y); when reflected across the y-axis.
Vertical shift
The rule for vertical shift 3 units up is:
[tex](x,y) \to (x,y + 3)[/tex]
Recall that, the first transformation gives (-x,y)
The vertical shift will then give the following transformation:
[tex](-x,y) \to (-x,y+3)[/tex]
Hence, the parent function will be transformed to [tex](-x,y+3)[/tex]
Read more about transformation at:
https://brainly.com/question/11707700
