The starter and exit quiz of the lesson “Transforming graphs: y = af(x)”, from the unit “Transformations of graphs” (Year 11 Maths) by Oak National Academy.
Free to use. Edit it, share it and hand it out to your students.
Oak National Academy
12 questions
\text{f}(x)+a is a transformation of the graph of \text{f}(x) by...
Match each piece of function notation to a description.
Shape 'b' is an enlargement by a scale factor of ___ of shape 'a'.
Shape 'a' is enlarged by scale factor 2 from centre of enlargement (0,0). Which of these coordinate pairs will be vertices of the enlargement?
Shape 'a' is enlarged by scale factor 5 from centre of enlargement (0,0). Which of these coordinate pairs will be vertices of the enlargement?
Shape 'a' is enlarged by scale factor 8 from centre of enlargement (-3,0). What will the new position of the marked vertice be? Give your answer in the form (x,y) ___
y=a\text{f}(x) will transform y=\text{f}(x) by __________ in the y-direction.
The transformation a\text{f}(x) is a stretch of \text{f}(x) in the y-direction by a scale factor of ___.
y=\text{f}(x) is graphed here. Which coordinate pairs will be on the graph of y=2\text{f}(x)?
y=\text{f}(x) is graphed. Which of these images shows the transformation y=2\text{f}(x)?
\text{f}(x)=\text{cos}(x) Which points are invariant after the transformation y=4\text{f}(x)?
(24,40) is a point on the line y=8\text{f}(x). What was the position of this point on the line y=\text{f}(x) before the transformation? Give your answer in the form (x,y).
