Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 9
105 practice questions
Topics covered
Practice questions
11–20 of 39 · Easy
Question 11
3 marks · Easy
Answer and see the solution →The graphs below represent the equations and .
Values for \(y = x^2\) and \(y = x + 4\) x y = x^2 y = x + 4 -3 9 1 -2 4 2 -1 1 3 0 0 4 1 1 5 2 4 6 3 9 7 (a)[2 marks]From the table, write down the two values of where the graphs intersect.
(b)[1 mark]Give the corresponding value of at either point of intersection.
Question 12
1 mark · Easy
Answer and see the solution →State how you can check that your solutions to a pair of simultaneous equations are correct.
Question 13
2 marks · Easy
Answer and see the solution →Show, by using algebra, that the difference between two consecutive even numbers is always 2.
Question 14
1 mark · Easy
Answer and see the solution →Write down the vector that translates the graph of onto the graph of .
Question 15
2 marks · Easy
Answer and see the solution →The graph of is shown below.
Estimate the gradient of the curve at the point where by drawing a tangent.
Question 16
2 marks · Easy
Answer and see the solution →The graph of is translated to become the graph of .
Describe the transformation fully.
Question 17
3 marks · Easy
Answer and see the solution →The graph of is transformed to .
(a)[1 mark]Describe the transformation.
(b)[1 mark]Write down the equation of the transformed graph if .
(c)[1 mark]Give the new coordinates of the point (2, 8) on the transformed graph.
Question 18
3 marks · Easy
Answer and see the solution →The table shows part of the data for the function .
Values for y = h(x) x y 0 0 1 2 2 6 3 12 Estimate the gradient of the curve at using the values given.
Question 19
1 mark · Easy
Answer and see the solution →What transformation maps the graph of onto the graph of ?
Question 20
2 marks · Easy
Answer and see the solution →The graph of is stretched parallel to the y-axis by a scale factor of 3.
Write down the equation of the new graph.