The point (2,5) lies on the graph of Y=f(x). Give the coordinates of one point on the graph of each of the following functions: •a) y= f(x-4) •b) y=f(x) - 4 •c) y= f(4x) •d) y= 4f(x)

Answer 1

point (2,5) lies on y=f(x)

a) y=f(x-4)

add 4 units to the x value and the y value stays the same: (6,5)

b) y=f(x)-4

subtract 4 units from the y value and the x value stays the same: (2,1)

c) y=f(4x)

compress horizontally by a scale factor of a (stretch or multiply by 1/4)

multiply the x value by 1/4 and the y value stays the same: ([1/4]*2, 5)=(1/2,5)

d) y=4(f(x)

stretch the graph vertically by a scale factor of 4

the x value stays the same and the y value gets multiplied by 4:(2,20)