Flashcards
Transformations
Cards in this deck (10)
- 1To the function f(x) , how do we show the translation [a][0]f(x-a)
- 2To the function f(x) , how do we show the translation [0][b]f(x)+b
- 3To the function f(x) , how do we show the stretch factor of 1/a in the x-direction?f(ax)
- 4To the function f(x) , how do we show the stretch factor of b in the y-direction?bf(x)
- 5To the function f(x) , how do we show a reflection in the x-axis?-f(x)
- 6To the function f(x) , how do we show a reflection in the y-axis?f(-x)
- 7For the transformations which effect the function outside the brackets (e.g. y=f(x)+b and y=bf(x) and y=-f(x) ) how can we get f(x) on its own?Rearrange (e.g. y-b=f(x) , y/b=f(x) , -y=f(x) )
- 8If f(x)=x^2 , what would the function be under a). Stretch sf 2 x-direction b). Stretch sf 1/4 in y-directiona). f(x/2) -> x^2/4
b). 1/4(x^2) -> x^2/4 - 9If f(x) = x^3+3x^2-2x+7 , what would the function be under a stretch factor 1/4 in the y-direction?x^3+3x^2-2x+7 / 4 =>
1/4x^3+3/4x^2-1/2x+7/4 - 10A transformation of a stretch in the y-direction is the same as.....y=1/y