Is there a direct variation between a triangular number and it’s position in the sequence?

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma twelve and through the point two comma zero and turning at the point four comma negative four and going up through the point six comma zero and continuing towards infinity courtesy of texas instruments a: y = (x − 4)2 − 4 b: y = (x + 4)2 − 4 c: y = (x + 2)2 + 6 d: y = (x + 2)2 + 12

Which undefined geometric term is described as a location on a coordinate plane that is designed by an ordered pair (x,y) ?

Write an equation in point-slope form for the line through the given point that has the given slope (-2,-7); m=-3/2