2at revision parabolas square root functions number types

Consider the function y = x² − 2.

Is the graph a smiley or a frowny parabola?

• Smiley parabola

• Frowny parabola

Consider the function y = x² − 2.

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

Calculate the y-coordinate of A.

Consider the function y = x² − 2.

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

• yes

• no

Consider the function y = x² − 2.

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

What is the x-coordinate

of C?

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

Calculate a.

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?

At a certain moment, Piet is in a cart at

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

Consider the function

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

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

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