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2at revision parabolas square root functions number types

Total questions: 12

Worksheet time: 11mins

Name
Class
Date
1.

Consider the function y = x2 − 2.

Is the graph a smiley or a frowny parabola?

a)

Smiley parabola

b)

Frowny parabola

2.

Consider the function y = x2 − 2.

Point A with x-coordinate 6 is on the graph.

Calculate the y-coordinate of A.

(a)  

3.

Consider the function y = x2 − 2.

Is the point B(-3,-5) on the graph?

a)

yes

b)

no

4.

Consider the function y = x2 − 2.

Point C with y-coordinate −2 is on the graph.

What is the x-coordinate

of C?

(a)  

5.

Point B(−2, 1) is on the graph of y = ax2.

Calculate a.

(a)  

6.

In the figure on the right you see part of a

rollercoaster. The part above the ground is

modelled by the function h = −0.6x2 + 18.6.

Here, x and h in metres.

What is the maximum height of the

rollercoaster above the ground?

(a)  

7.

At a certain moment, Piet is in a cart at

x = −3. At what height is Piet at that moment?

(a)  

8.

Consider the function

 y=3+xy=3+\sqrt{x}  
Write down the coordinates of the starting point of the graph.



(a)  

9.


 consider the function y=3+xconsider\ the\ function\ y=3+\sqrt{x}  
Point A with x-coordinate 196 is on the graph.
Calculate the y-coordinate of A.



(a)  

10.

 consider the function y=3+xconsider\ the\ function\ y=3+\sqrt{x}  
Point C with y-coordinate 13 is on the graph.
Calculate the x-coordinate of C.

(a)  

11.

all numbers that can be written as a fraction are called...

a)

real numbers

b)

rational numbers

c)

irrational numbers

d)

natural numbers

12.

Numbers that cannot be written as a fraction are called...

a)

Real numbers

b)

rational numbers

c)

irrational numbers

d)

natural numbers