Question

How can you use transformations to graph this

function?
y=3•7-x+2
Explain your steps.

Answer 1

Sketch the graph of y=7x.

Reflect the graph across the y-axis to show the function y=7-x.

Stretch the graph vertically by a factor of 3 to show the function y=3x7-x.

Shift the graph up 2 units to show the function y=3x7-x+2.

Explanation:

Answer 2

The last two easy transformations involve flipping functions upside down (flipping them around the x-axis), and mirroring them in the y-axis.

The first, flipping upside down, is found by taking the negative of the original function; that is, the rule for this transformation is –f (x).