All Tasks

Normal line of arccos

Consider the function defined by $f(x)=-3\arccos(x+1)$. Determine the normal line of $f(x)$ for $x=-1/2$.
 
# Functions of one variable

Reasoning
13

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.
 
# Unassigned

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.
 
# Unassigned

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.
 
# Unassigned

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.
 
# Unassigned

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.
 
# Unassigned

Training
9