Further transformations of graphs

Question 1

When combining one horizonal and one vertical transformation, does changing the order in which they are applied change the outcome?

Answer 1

the outcome does not vary based on order

Question 2

when 2 translations in the same direction are applied, does the order in which they are applied change their outcome

Answer 2

the order in which the transformation is applied does change the outcome

Question 3

When combining 2 vertical transformations, what is the order of operations used on the function

Answer 3

multiplication followed by addition

Question 4

When combining 2 horizontal transformations, what is the order of operations used on the function

Answer 4

addition then multiplication

Question 5

how the the function of |x| defined for

Answer 5

x for x ≥ 0
-x for x < 0

Question 6

when sketching a graph of |f(x)| what is the correct process to draw the graph correctly

Answer 6

sketch f(x)
reflect any part of the graph below the x axis above the x axis

Question 7

what inequality is |x-a|<b equivalent to

Answer 7

-b<x-a<b

Question 8

what inequality is |x-a|>b equivalent to

Answer 8

x-a>b or x-a<-b

Question 9

when solving equations involving inequalities, what is the first step

Answer 9

stech the graph involving the modulus

Question 10

if a function intersects the reflected line of the modulus equation, what needs o be done to that part of the equation

Answer 10

the equation must be made negative