Use the function h = -16T2 + vT + s for all problems in feet. Use the
function h = -4.9T2 + vT + s when given in meters.
1) A football is kicked straight up from a height of 4 feet with an initial speed of
60 feet per second. The function f(t) = -16t2 + 60t + 4 models the ball’s height
above the ground, f(t), in feet, t seconds after it was kicked.
A) How long will it take for the football to hit the ground?
B) How high did the ball travel?
C) What time did it get to its highest height?
D) What height was the ball kicked from?

Analyze the graph of the cube root function shown on the right to determine the transformations of the parent function. then, determine the values of a, h, and k in the general equation.

Drag each number to the correct location on the statements. not all numbers will be used. consider the sequence below. -34, -21, -8, 5, complete the recursively defined function to describe this sequence

Based on the situation in part a, the width of a rectangular garden is x feet, and its length is 5 feet more than twice its width. the right side of the equation, g(x) = 2x2 − 13x + 6, can be factored to g(x) = (2x − 1)(x − 6). this function could represent an inner region of the garden from the first equation, such as a vegetable garden with a border around it. the length of this inner garden would be 2x − 1 feet, and the width would be x − 6, which would leave a 3-foot border around the garden. part d what is the value of g(8) for the function g(x) in part c? what does this value mean in the context of the situation you described in part c?