Question

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

Answer 1

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:

`x=-1\Rightarrow(-1)\cdot(-1)=1_{}`
`x=2\Rightarrow2\cdot2=4,x=3\Rightarrow3\cdot3=9`

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:

`y=nx^2`

In this case, then, the parent function, that is, the function that any of the quadratic function coming from is:

`y=x^2`

Which is the parent function (and even the function in this case).