## All Tasks

#### Find the terms of the function

Use the following function rule $f(x)=x^2$ to fill in the following blanks

# Quadratic functions

Reasoning

9

#### The formula of Quadratic function

Which of the following functions are quadratic?
$i. x+2y-3y²=5$
$ii. y=x^2+3x+2$
$iii. y+x^2=3χ+2$
$iv. y=3+2x^3+3x$
$v. y=χ²+3$
$vi. y=3(x-2)(x-3)$
$vii. xy=12$
$viii. y=-2(x-4)^2$
$ix. y-4=x^2+2x+\sqrt3$
$x. 3x^2+x-2=0$
$xi. 3-2y=0$

# Quadratic functions

Reasoning

9

#### Βiggest velocity / kinetic energy

The kinetic energy of an object is given by the equation :$ K=\frac{1}{2}mv²$.
If two objects with mass $3 kg$ and $12 kg$ have:
a) the same kinetic energy, which object has the biggest velocity?
b) the same velocity, which object have the biggest energy?

# Quadratic functions

Modeling

9

#### Find the area

A farmer has divided his field into 10 isembadic squares and in each one sows a different kind of vegetable.
A. Can you find the function that expresses the area of the field?
B. Ιf each square has a side of 40m find the area of the field.

# Quadratic functions

Modeling

10

#### Find coefficient

Find $a$ if the graph of quadratic function$f(x) = (2a+3)x^2$ is passing through the point $A(3,45)$

# Quadratic functions

Reasoning

9

#### A bag full of coins

Peter finds a bag with 50 coins inside. The bag only contains coins of 2 cents and 5 cents (of Euro €). If the total value of the coins is 1.81€, how many more 5 cents coins are there than 2 cents coins?

# Linear equations

Modeling

8