The vertex of this parabola is at (4, -3). Which of the following could be its equation?

Question

anonymous · Answer

attachment

anonymous · Answer

@mathmale Answer A?

mathmale · Answer

This problem is nearly identical to the previous one, so all my comments for the previous one, along those of the other person who was helping you, should apply here.

mathmale · Answer

Best to show your work.  Actually write out y=a(x-h)^2+k and subst. the coor. of the given point.

mathmale · Answer

does the parabola open to the left or to the right?  This question was not part of the previous one.

anonymous · Answer

what is x and h in this example

mathmale · Answer

If the parabola is a horizontal one, then (x-h) is irrelevant.

Compare:  vertical parabola with vertex at (h,k):  y=a(x-h)^2+k

           horizontal para. with vert. at (m,n):  x=c(y-m)^2+n

anonymous · Answer

can u show me how to plug those in?

mathmale · Answer

Given vertex is at (4,-3), corresponding to (h,k)

Let's try this.    x=c(y-k)^2+h (note that h is associated with x and k is associated with y.

mathmale · Answer

So if the given point is (4,-3), we get the following equation:

x=c(y-[-3])^2+4  

simplify this last result, please.

anonymous · Answer

so it is answerA