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shifts&compressions
algeba
| Question | Answer |
|---|---|
| What is a horizontal shift of a function? | A transformation that moves the graph left or right. |
| What is the general form for a horizontal shift? | f(x+c): shifts right by c units f(x+c): shifts left by c units |
| Does a horizontal shift affect the x- or y-values? | It affects the x-values (input). |
| What is a vertical shift of a function? | A transformation that moves the graph up or down. |
| What is the general form for a vertical shift? | f(x)+c : shifts up by c units f(x)-c: shifts down by c units |
| Does a vertical shift affect the x- or y-values? | It affects the y-values (output) |
| What is a horizontal compression/stretch? | It compresses or stretches the graph left-right by affecting the input. |
| What is the general form for a horizontal compression/stretch? | f(kx) 1.If k>1, it's a compression (squeezes graph horizontally) 2.If 0<k<1, it's a stretch (widens graph horizontally) |
| What is a vertical compression/stretch? | It compresses or stretches the graph up-down by affecting the output |
| What is the general form for a vertical compression/stretch? | k f(x) 1. If k>1, it's a stretch (taller graph) 2.If 0<k<1, it's a compression (shorter graph) |
| Do vertical transformations affect x- or y-values? | They affect the y-values. |
| Do horizontal transformations affect x- or y-values? | They affect the x-values |
Created by:
adeiuankhe