Transformations

hey everyone ...i hope you all had a wonderful T.A day.

on tuesday we started unit 2 ,TRANSFORMATIONS.

we did translations...translations are vertical and horizontal movements or shifts using basic shape.

vertical translations :

y=f(x)+k or f(x)-k if the value of k is negative the entire graph shifts down and if it is positive the graph shifts up.

horizontal translations:

y=f(x-h) or f(x+h) if the value of h is positive the entire graph shifts left and if h is negative the graph shifts right.

then we did some graphing , we graphed quadratic functions ,cubic functions and trig. finctions.

that's all we did on tuesday.

Today ,on thursday ,we did stretches and compressions.

vertical stretches and compressions :

y=af(x) the graph stretches vertically by the factor of "a" units.(a>1)

y=1/a f(x) the graph compresses vertically by the factor of "a" units. (a<1)

only the y values are affected in a vertical compress or stretch.The value of x does not change.

(x,y) = (x,a.y)

horizontal stretches and compressions:

y=f(bx) the graph compresses horizontally by the factor of "a" units.

y=f(1/bx) the graph stretches horizontally by the factor of ''a" units.

In horizontal stretch or compression only x values are affected.The y value does not change.

we have our first unit test tomorrow ,so, be ready and best of luck !