As someone who has a teacher that neglects my learning. It would be really appreciated if I could get help.

Question

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

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)

Answer 1

ok so f(x) eats (5,0) and (10,10)...

the slope is then (10-0)/(10-5) = 10/5 = 2

B = y - mx = 0 - 2*5 = -10, so

the equation of the line is f(x) = 2x-10

g(x) eats (-3,0) and (2,10)

the slope is then (10-0)/(2--3) = 10/5 = 2

B = y - mx = 0 - (2)(-3) = 6

the equation of the line is g(x) = 2x + 6

part A:

the obvious transformation is 16 points upward

part B:

k=16

part C: g(x) = f(x)+k = f(x)+16