Unit 6: Transformations

Key words

• TransformationKey word · Unit 6TransformationA change that moves, stretches or reflects a graph.Exactly: A mapping of a function graph, such as $g(x)=af(b(x-h))+k$, with $a\ne 0$ and $b\ne 0$.Mix-up alert: An inside shift x - h moves the graph right by h when h is positive.See this in Key wordsClose meaning
• ReflectionKey word · Unit 6ReflectionFlip a graph across an axis.Exactly: The graph of $-f(x)$ reflects across the horizontal axis; $f(-x)$ reflects across the vertical axis.Mix-up alert: An outside minus changes outputs; an inside minus changes inputs.See this in Key wordsClose meaning
• Scale factorKey word · Unit 6Scale factorThe multiplier that stretches or compresses distances.Exactly: For $g(x)=af(bx)$, with $a\ne 0$ and $b\ne 0$, vertical distances scale by $|a|$ and horizontal distances by $\frac{1}{|b|}$, with reflections for negative multipliers.Mix-up alert: An inside factor 2 makes a graph half as wide, not twice as wide.See this in Key wordsClose meaning