Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Graphs 5
17 practice questions
Practice questions
11–17 of 17
Question 11
3 marks · Normal
Answer and see the solution →Copy and complete the table of values for for , then write the coordinates of the minimum point.
Table of values for \( y = x^2 - 2x + 1 \) x -1 0 1 2 3 y Question 12
3 marks · Normal
Answer and see the solution →Consider the region defined by the inequalities and .
(a)[2 marks]Describe how you would represent this region on a graph, stating whether each line should be solid or dashed.
(b)[1 mark]For the line , give a suitable test point and check whether it lies inside the required region.
Question 13
2 marks · Normal
Answer and see the solution →The distance between two points A(4, -2) and B(-2, 1) can be found using Pythagoras’ Theorem. Work out the length of AB.
Question 14
2 marks · Normal
Answer and see the solution →Describe the transformation that maps the graph of onto the graph of .
Question 15
2 marks · Normal
Answer and see the solution →Explain why the product of the gradients of two perpendicular lines (neither vertical nor horizontal) is always -1.
Question 16
4 marks · Hard
Answer and see the solution →The equation of a quadratic curve is . The graph of is transformed to the graph of .
Write down the equation of the transformed graph in terms of .
Calculate the coordinates of the new vertex (minimum point) after these transformations.
Question 17
4 marks · Hard
Answer and see the solution →Consider the function . The graph of passes through the point (2, 10) and has a stationary point at .
Find the values of and . Show all reasoning.