## All Tasks

#### f(x)=ax²

The graphs of the image correspond to the functions f(x)=x², f(x)=2x², f(x)=3x² and f(x)=4x².
Which colour graph corresponds to f(x)=4x²?

# Quadratic functions

Training

8

#### Linear equation Transformation 1

Find the unknown in the following equation:
4x - 2 + 2x + 3 = 3x + 2 + 5x - 15

# Linear equations

Training

7

#### Braking function of a vehicle

From measurements, a quadratic function can model the braking distance (in meters), on a dry roadway, according to the speed (in km/h) that
the vehicle travels. The formula for the braking distance function is:
d (v) = braking distance (m) for a vehicle speed v (km/h).
d (v) = 0,005 v²
If a caravan driver on a freeway is at a distance of about 70 m from the vehicle in front of him, which must be its maximum speed (in km/h)? Truncate the solution to the units

# Quadratic functions

Modeling

8

#### Square garden

We want to surround a square garden with cypress trees. If the cypress trees should be at a distance of $2$ m, how many will we need to plant? Select the correct option if $x^2$ is the garden area in $m^2$

# Quadratic functions

Modeling

8

#### Identifying translations from y=-x²

From the green graph, corresponding to y=-x², obtain the equation of the blue graph and its vertex.

# Quadratic functions

Reasoning

8