In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achieve the graph of g(x) = log(-3x+9) + 4. answer asap. only write the right answer (":

Step-by-step explanation:

f(x) = log(x), to achieve the graph of g(x) = log(-3x+9) + 4

factor out the -3 inside the parenthesis

 g(x) = log(-3(x-3)) + 4

the +4  shifts the graph up 4 units

-3  inside the parenthesis moves it to the right units

3 compresses it by a factor of 3 in the x direction

- by the 3  on the outside of the reflects it about the y axis

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."