Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 9
105 practice questions
Topics covered
Practice questions
41–50 of 105
Question 41
1 mark · Easy
Answer and see the solution →What transformation maps the graph of onto the graph of ?
Question 42
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.
Question 43
2 marks · Normal
Answer and see the solution →Find the gradient of the straight line joining the points and .
Question 44
3 marks · Normal
Answer and see the solution →The graph of is shown below.
Graph of \( y = f(x) \) and its translation. Describe fully the transformation that maps the graph of to the graph of .
Question 45
3 marks · Normal
Answer and see the solution →The graph of is reflected in the y-axis and then stretched in the y-direction by a scale factor of 2. Write down the equation of the resulting graph, and describe each transformation algebraically.
Question 46
4 marks · Normal
Answer and see the solution →The curve is drawn for .
Curve \( y = x^2 + 2 \) with point at \( x=1 \). (a)[3 marks]Draw a tangent to the curve at , and estimate its gradient.
(b)[1 mark]Write down the equation of the tangent to the curve at , using the gradient found in part (a).
Question 47
4 marks · Normal
Answer and see the solution →The graph below shows the temperature (in °C) of a liquid as it cools over time.
Temperature-time graph for a cooling liquid. (a)[2 marks]Estimate the rate of temperature change at min.
(b)[2 marks]Describe how the rate of temperature change varies as time increases.
Question 48
2 marks · Normal
Answer and see the solution →Write down the algebraic equation for the graph that results from stretching by a scale factor of 4 in the y-direction.
Question 49
3 marks · Normal
Answer and see the solution →Find the gradient and y-intercept of the straight line with equation .
Question 50
3 marks · Normal
Answer and see the solution →Below are graphs of , , and .
Explain how each of the following transformations affects the graph of :
(i) Replacing x with x-1
(ii) Replacing x with x+3