Unit 5

What is the name of the graphical shape formed by the function y = x^2?

Write down the equation of the line that is the mirror line for a reflection in the x-axis.

What is the scale factor of an enlargement if a triangle with side length 3 is enlarged to make a triangle with side length 6?

A triangle has vertices at (1, 2), (3, 2) and (1, 4). It is translated by the vector .

A triangle is reflected in the y-axis. The image of the point (–4, 5) is point A. What are the coordinates of point A?

Write the column vector that translates the point (0, –2) to the point (3, 4).

Which transformation always preserves shape and size?

Two rectangles are similar. Rectangle X has sides 4 cm and 7 cm. Rectangle Y has sides 8 cm and k cm. Work out the value of k.

A survey was carried out to find the favourite fruit of a group of students. The results are shown in the table below.

A student is chosen at random from the group. What is the probability that this student chose Banana as their favourite fruit? Give your answer as a fraction in its simplest form.

Here is a grouped frequency table showing the ages of attendees at a club:

Estimate the mean age of the attendees at the club. Give your answer to one decimal place.