The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x): A graph with two linear functions; f of x passes through 1, 3 and 3, 13, and g of x passes through negative 1, 3 and 1, 13. Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points) Part B: Solve for k in each type of transformation. (4 points) Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

see below

Parts a,b,c are done for each transformation

Step-by-step explanation:

We can shift f(x) to g(x) by  shifting f(x) to the left

y = f(x + k) k > 0 moves it left

f(x) has a point at ( 2,8) and g(x) has a point at (0,8)

0 -2 = -2

We want to move it 2 units to the left so they become the same point

g(x) = f(x+2)

We can shift f(x) to g(x) by  shifting f(x) up

y = f(x) + k  

k > 0 moves it up

f(x) has a point at (0,-2) and g(x) has a point at (0,8)

8 - -2 = 8+2 = 10

We want to move it 10 units up

g(x) = f(x) + 10

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

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