OCR GCSE Maths
Topic questions Pure mathematics Graph transformations
8 questions · 42 marks · about 40 minutes
Solve by factorisation.
Write x2 + 8x + 11 in the form (x + a)2 - b.
Write down the coordinates of the turning point of the graph y = (x - 3)2 + 8.
Describe the single transformation which maps the graph of y = x2 onto the graph of y = (x - 3)2 + 8.
The graph of y = x2 is shown below for -2 ⩽ x ⩽ 2.
Find the equation of the image when y = x2 is reflected in the line y = 2.
Describe the single transformation that maps the graph of y = x2 onto the graph of y = x2 + 6x - 5.
Describe the single transformation that maps the graph of y = x2 onto the graph of y = (x + 3)2 5
Sketch the graph of y = cos x - 1 for 0 ° ⩽ x ⩽ 720 °.
For each graph below, select its possible equation from this list.
Here is a sketch of y = x3.
On the axes below, sketch the graphs of
y = -x3
y = x3 - 8, showing the values of any intercepts with the axes.
Also involves Trigonometric equations
Sketch the graph of y = sin x for 0 ° ⩽ x ⩽ 360 °.
The graph of y = cos (x - 30) for 0 ° ⩽ x ⩽ 360 ° crosses the x-axis in two places.
Write down the values of x where this occurs.
Sketch the graph of y =- sin x for 0 ° ⩽ x ⩽ 360 °.
Write x2 – 8x + 25 in the form (x – a)2 + b.
Write down the coordinates of the turning point of the graph of y = x2 – 8x + 25.
Hence describe the single transformation which maps the graph of y = x2 onto the graph of y = x2 – 8x + 25.
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