All Tasks
Golf Ball
Hannah tees off a golf ball. The equation y=-5x^2 + 30x describes its flight height y (in m) as a function of time x (in s).
Calculate the zeros of the function and explain what the zeros say about the flight of the golf ball.
# Quadratic functions
Modeling
9
Law of gravity
The Italian Galileo Galilei discovered the law of gravity. The distance s in meters that a body falls in t seconds is approximately s = 5 t².
He verified his law on the Pisa Sharp Tower, which is 54 m high (see picture).
a.) How long does the stone fall from the top to the bottom?
b.)From what height do you have to drop a stone so that it reaches the ground in 2s?
Round to 2 decimal places.
# Terms with variables
# Quadratic functions
Modeling
9
vertex of function 3
The graph of the function f(x) = x² is translated and has the vertex S( -2/4). Cross the term of the new function.
# Quadratic functions
Training
9
Graph-term
The graphs of p1 to p4 are transleted parabels of f(x) = x².
Fill in the correct terms to each graph.
# Quadratic functions
Training
9
Vertex of function 2
The parabel of the function f(x) = x² is translated. The new vertex has the coordinates S(0/-1.9). Cross the term of the new function.
# Quadratic functions
Training
9
Vertex of funktion 1
The parabel of the function f(x) = x² is translated. The new vertex has the coordinates S(-3.5/0). Cross the term of the new function.
# Quadratic functions
Training
9