All Tasks

$f(x)=ax^2$, with $0

The graphs of the image correspond to the functions $f(x)=x^2$, $f(x)=\frac{1}{2}x^2$, $f(x)=\frac{1}{3}x^2$ and $f(x)=\frac{1}{4}x^2$. Which colour graph corresponds to $f(x)=\frac{1}{4}x^2$?
 
# Quadratic functions

Training
8

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