The graph below models the path of a basketball after it was thrown from a player’s hands to the basketball hoop, through the net, and down to the floor. The h values represent the height of the ball in feet above the floor and the d values represent the horizontal distance in feet from the player’s hands.   What was the height of the ball, when it was first released from the player’s hands?  Accuracy to the nearest tenth.  Don’t forget your units! The height of the ball at initial release is 

Algebraically determine the zero(s) of the quadratic relation y = x2 – 25.  Please list as coordinates. The coordinate(s) of the zero(s) is / are:

Identify which statement is true of the graph and equation for this quadratic:

The x-intercepts (zeroes) of y = x2 – 5x – 6 are (-6, 0) and (1, 0).

Expand and simplify (x – 8) (x – 9)

Antoine folded two paper airplanes that are similar in shape. What is the base of the smaller airplane?  

A ladder leaning against a wall reaches a height of 10 m up the wall and makes an angle of with the ground.  What is the length of the ladder?

A 15 m tall tree casts a shadow that is 3.4 m long.  At the same time of day, another tree casts a shadow that is 5.2 m long.  Calculate the height of this tree.

Identify whether each relation is linear or quadratic.

Ben’s work for solving this system of equations is shown below.  All his work is correct. Which method is he using? System:y = -5 – x 2x + y = 20 Ben’s solution:2x + (-5 – x) = 20 x – 5 = 20 x = 25 y = -5 – (25) y = -30