Which function has a vertex at the origin? f(x) = (x 4)2 f(x) = x(x – 4) f(x) = (x – 4)(x 4) f(x) = –x2

Answer with explanation:

All of the function are equation of parabola.If the equation of parabola is like this it has vertex at the origin

Out of the four options given,we will check which of the following function has vertex at the origin.

As,only quadratic function:

is of the form,that is Like ,equation 1 and equation 2,that i have written in the beginning.

So,this function has a vertex at the origin.

Option D  

We can check graphically also.

Drawn the graph of

and found that, f(x)= - x²,has vertex at the origin.

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^