A marble is tossed into the air at a speed of 64 feet per second from a height of 10 feet. The path of the marble can be modeled by the equation h=-16t^{2}+64t+10h=−16t 2
+64t+10. What is the maximum height the marble reaches in feet?

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?