A line that passes through the points (x,4) and 5/6 what value of x will yield the given slop

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

Any is very appreciated! (picture is provided below)not sure how to do this at all won't lie

Select all of the categories that apply for the figure below. quadrilateral, trapezoid, parallelogram, rhombus, rectangle, square