Answer:
It is translated left 6 units
Step-by-step explanation:
I will help you understand graphing a function.
1. Each part in the equation represents how the graph will look.
In the first equation you have an [tex]x^{2}[/tex] and the number 3.
In the second equation you have an [tex](x + 6)^{2}[/tex]and that same number 3.
2. First look at the variable: the [tex]x^{2}[/tex] tells us that both of these functions are positive quadratics opening up
3. The number on the outside tells you where the function is located on the y-axis (vertical movement)
Both equations have the number 3 so the graph will be 3 units high
4. The number on the inside with the variable determines the horizontal movement of the graph
The second equation has a (x + 6)
It might be confusing to think that since its addition the graph should go to the right but it actually goes to the left.
A good saying, I keep in my head is that parenthesis lie (x + 6) really mean 6 units to the
I will also add an image of the graph of the function below.
