Homework Soursea shifting of yx2 to the left 2 units and vertical shrinking
a) shifting of y=x^2 to the left 2 units and vertical shrinking of the resulting graph by a factor of 1/3
b) shifting of y=x^2 to the right 2 units and horizontal shrinking of the resulting graph by a factor
c) shifting of y=x^2 to the right 2 units and vertical shrinking of the resulting graph by a factor
d) shifting of y=x^2 to the left 2 units and horizontal shrinking of the resulting graph by a factor
Solution
a) y = f(x) when shifted to the left by m units , becomes y = f (x+m)
When vertically shrunk bt n units, it becomes y= f(x) / n
Just shift or move the graph of y=x^2 to the left by two units and then shrink it vertically to one third of its size.
Shrinking vertically meaning - You see a part of a graph between two points, say 3 and 6. If you shrink vertically by a factor of 3, then you will draw that part you saw between 3/3 and 6/3 , ie between 1 and 2
b) Similarly,
shift the graph of y=x^2 to the right by two units and then shrink it horizontally by the given factor - one third, half or whatever.
c) Just shift the graph of y=x^2 to the right by two units and then shrink it vertically by the desired factor.
d) Just shift the graph of y=x^2 to the right by two units and then shrink it horizintally by the desired factor.
