Topic explanation

Standard explanation

In y=a f(b(x-h))+k, h and k shift the graph; a and b control stretch and reflection.

Key points

• Basic graph transformations
• rule
• worked example
• Basic graph transformations: In y=a f(b(x-h))+k, h and k shift the graph; a and b control stretch and reflection.
• CONCEPT AND RULE: In y=a f(b(x-h))+k, h and k shift the graph; a and b control stretch and reflection.
• METHOD: For basic graph transformations, identify the given information and required result. Select the matc
• In y=a f(b(x-h))+k, h and k shift the graph; a and b control stretch and reflection.
• Worked pattern: y=(x-3)^2+2 is y=x^2 shifted 3 right and 2 up.

Labelled diagram