Describe the graph of a function with an axis of symmetry whose x-value is the opposite of the axis of symmetry of h(x). write the function in standard form to support you answer

h(x)=-3x^2-12x+4

Question

Describe the graph of a function with an axis of symmetry whose x-value is the opposite of the axis of symmetry of h(x). write the function in standard form to support you answer

h(x)=-3x^2-12x+4

anonymous · Answer

Is -b opposite of b?

anonymous · Answer

yes?

anonymous · Answer

i know the axis of symetry is -2

anonymous · Answer

Then it's just like your question from last night, but switch the signs.

anonymous · Answer

which sign?

anonymous · Answer

so -3x^2+12x+4?

anonymous · Answer

I think so, double check, what is the new functions axis of sym.?

anonymous · Answer

thats the thing i dont understand i have the symetry which is -2 and the equation above in standard form is y=-3(x+2)^2+16

anonymous · Answer

which gives an axis of.... +2

anonymous · Answer

Also, the answer is not unique,  pick any parabola with axis (i.e. max or min) at 2. ex
$$(x-2)^2$$

anonymous · Answer

so plug the -2 in x?

anonymous · Answer

um. we want +2. and it's not necessarily a root, just the max/min.  So you want 2 to be the vertex, OR a root of the derivative = 0 if you know/like calculus.