F(x)=|x|+5; horizontal shrink of factor 3

Answer 1

F(x) shrunk by a factor of 3 is (1/3)F(x) = (1/3)[|x|+5]

or

G(x) = |x|/3 + 5/3

stretch by a factor of 3 is 3|x|+15

shrink or compress virtically by factor of 3 is |x|/3 + 5/3

You might try graphing the function and plot a few points

F(x) =|x|+5 is |x| shifted up 5 units

(0,5), (3,8), (-3,8) are points on the graph,

shrink by factor of 3 is

G(x) = |x|/3+5/3

(0,5), (3, 8/3), (-3,8/3) are points on the compressed function

It's a vertical compression, each y value is 1/3 of the original function's y value

if (x,y) is a point on F(x), then (x,y/3) is a point on the compressed function

but "Shrink" or "compress" could refer to horizontal shrinkage,

then (x,y) becomes (x/3, y) in the horizontally shrunk function

what's vertical compression is horizontal stretching

what's vertical stretching is horizonatl compression