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 0, negative 1 and 5, 14, and g of x passes through negative 6, negative 1 and negative 1, 14.

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:

answer:   a) shift left 8 units or shift up 16 units

              b) k = 6

              c) g(x) = f(x+ 8)   or g(x) = f(x) + 16

step-by-step explanation:

the graph shows that f(x) = 2x - 10   and   g(x) = 2x + 6

a & c)   in order to transform f(x) into g(x), we can

shift f(x) to the left 8 units: g(x) = f(x + 8)

shift f(x) up 16 units: g(x) = f(x) + 16

b) since the vertex form of the equation is: y = a(x - h) + k

and g(x) = 2x + 6

then k = 6

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