Download Reflecting Functions: A Mathematics Quiz for High School Students and more Exercises Mathematics in PDF only on Docsity!
13 February 2025
Quiz for 5
Functions
1 MWB: Find
(a) Reflect shape A in the x -axis. Label the new shape B. (b) Reflect shape B in the y -axis. Label the new shape C. (c) Describe fully the rotation that maps shape C to shape A.
3 Find
4 Solve f
( x ) = gh( x )
Describe fully the single transformation that maps shape P to shape Q. (3 marks so 3 things)
Do
Next
The times that 80 customers waited at a supermarket checkout are shown. (a) In which class interval is the median? (b) What percentage of customers waited for less than 6 minutes
32 x
8 x + 9
88(.75)(%) or 89(%) 2 ≤ t < 4 Rotation, Centre (-1,0), 90 degrees clockwise
Rotation about (0,0)
New Learning
Click on https://www.desmos.com/calculator Type in f(x) = x^2 on the first line. Press enter Type in y = f(x) on the 2nd^ line. Show what happens when you put a negative in front of the f(x). Show that this is a reflection in the x axis. Emphasise that the x coordinates stay the same and the y coordinates will change sign. Change the negative sign so that it is inside the brackets. Explain that this is a reflection in the y axis. This does not show up on the graph of y = f(x) because y = x^2 is symmetrical. Change to f(x) = x^3 + 2x and show that this is a reflection in the y axis. Emphasise that the y coordinates stay the same and the x coordinates change sign.
Pause Point
A reflection of is a reflection in the axis.
A reflection of is a reflection in the axis.
I do – x-axis reflection
On the grid, draw the graph of
We do – x-axis reflection
Here is a sketch of y = f( x )
The curve passes through the points (–2, –10) (–1, –3) (0, –2) (1, –1) (2, 6) On the grid, draw the graph of
Independent Practice
(a) On this grid, sketch the graph of
Independent Practice
Independent Practice
(a) On this grid, sketch the graph of
Independent Practice
(b) On this grid, sketch the graph of
