how do you find the vertex of 2 cooridnates?the origonal problem is(X-5)(X+7)=0?

Question

and i got (5,-5) nd (-7,7)am i right with the coordinated that i got
please help i need this urgentally before tomoorrow monday jaunrary 8 2007 thank you in advance for your help

Answer 1

"vertex of 2 cooridnates" does not make any sense, but what I can do is help you find the vertex of the parabola.

The vertex is the global minimum/maximum of a parabola. It's where the curve "levels off."

In this case, you can draw the parabola. Locate the zeroes at x=5 and x=-7. Afterwards, you will notice an important property... the parabola is symmetric, with the vertex placed right between the two roots.

So to locate the x-value of the vertex precisely, you would have to find the arithmetic average of 5 and -7, which happens to be -1.

Knowing that the x-value of the vertex is -1, you can substitute that into the function of the curve to get the y-value of:

(-1-5)(-1+7) = (-6)(6) = -36

Therefore, the vertex is at (-1,-36)