## 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