## All Tasks

#### Translating y=ax² both horizontal and vertical

Which one is the correct equation for the graph of the image?

# Quadratic functions

Reasoning

8

#### Comparing graphs $f(x)=ax^2$

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

# 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