What is the effect on the graph of the function f(x) = |x| when f(x) is changed to f(x + 9)? a) shifts right by 9 units b) shifts left by 9 units c) shifts up by 9 units d) shifts down by 9 units

B) shifts left by 9 units

Step-by-step explanation:

f(x) = |x|

f(x + 9) will shift the graph of f(x) 9 units to the left (see image below).

f(x - 9) will shift the graph of f(x) 9 units to the right.

C) and D) are wrong, becausethe minimum value of f(x) = 0 no matter what we add or subtract from x.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .