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These are the Transum resources related to the statement: "Transformations of graphs. Translations: y=f(x)+b;y=f(x-a). Reflections (in both axes): y=-f(x);y=f(-x). Vertical stretch with scale factor p: y=pf(x). Horizontal stretch with scale factor 1/q: y=f(qx). Composite transformations.".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Graph Patterns Find the equations which will produce the given patterns of graphs.
- Transformations of Functions A visual aid showing how various transformations affect the graph of a function.

Here are some exam-style questions on this statement:

- "
*(a) By completing the square, solve \(x^2+8x+13=0\) giving your answer to three significant figures.*" ... more - "
*The graph of the following equation is drawn and then reflected in the x-axis*" ... more - "
*(a) Find the interval for which \(x^2 - 9x + 18 \le 0\)*" ... more - "
*(a) Write \(2x^2+8x+27\) in the form \(a(x+b)^2+c\) where \(a\), \(b\), and \(c\) are integers, by 'completing the square'*" ... more - "
*Let \(f (x)=a(x-b)^2+c\). The vertex of the graph of \(f\) is at (4, -3) and the graph passes through (3, 2).*" ... more - "
*A function is defined as \(f(x) = 2{(x - 3)^2} - 5\) .*" ... more - "
*Let \(f(x)=5x^2-20x+k\). The equation \(f(x)=0\) has two equal roots.*" ... more - "
*Let \(f(x) = {x^2}\) and \(g(x) = 3{(x+2)^2}\) .*" ... more - "
*Let \(f\) and \(g\) be functions such that \(g(x) = 3f(x - 2) + 7\) .*" ... more - "
*Two functions are defined as follows: \(f(x) = 2\ln x\) and \(g(x) = \ln \frac{x^2}{3}\).*" ... more

Click on a topic below for suggested lesson starters, resources and activities from Transum.

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