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.

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered