Identify if the representation given is linear or quadratic and write the parent functions

We can see that, in this case, that, for each value of x, we get the square of x for y.
Then, we can say that:
[tex]x=-1\Rightarrow(-1)\cdot(-1)=1_{}[/tex][tex]x=2\Rightarrow2\cdot2=4,x=3\Rightarrow3\cdot3=9[/tex]And we also get the same result for x =0 and x = 1.
Then, this is a quadratic function, since the quadratic function is of the form:
[tex]y=nx^2[/tex]In this case, then, the parent function, that is, the function that any of the quadratic function coming from is:
[tex]y=x^2[/tex]Which is the parent function (and even the function in this case).