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

EXPLANATION

A quadratic function written in the form:

has it's vertex at V(h,k).

For instance, the function

has its vertex at (-4,0).

Therefore a function that has it's vertex at the origin (0,0), will have equation of the form,

Among the given options, the only function in this form is

Hence f(x)=-x² has it's vertex at the origin.

ANSWER

EXPLANATION

A quadratic function written in the form:

has it's vertex at V(h,k).

For instance, the function

has its vertex at (-4,0).

Therefore a function that has it's vertex at the origin (0,0), will have equation of the form,

Among the given options, the only function in this form is

Hence f(x)=-x² has it's vertex at the origin.