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PLZZ HELP ASAP
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)

PLZZ HELP ASAP The Linear Functions Fx And Gx Are Represented On The Graph Where Gx Is A Transformation Of Fx A Graph With Two Linear Functions F Of X Passes Th class=

Sagot :

DrSebastianHawkins

Step-by-step explanation:

f(x)= 0, -1 ,5,14

g(x)= -6, -1, -1, 14

g(x)=f(x)+k

-6= 0+k

k= -6

A)

B) g(x)=f(x)+k

-1= -1+ k

k= -1+1=0

g(x)=f(x)+k

-1= 5+k

k= -1-5=-6

g(x)=f(x)+k

14= 14+k

k= 0

k= -6,0,-6,0

The value of k is 18, and the transformation equation is g(x) = f(x) + 18 if the linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x).

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have:

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

f(x) is a parent function and g(x) is the transformed function.

From the graph

f(x) passes through (0, -1) and (1, 2)

The equation of the function:

[tex]\rm y\ +1=\ \dfrac{\left(2+1\right)}{1}\left(x\right)[/tex]

f(x) = 3x - 1

To get the graph of g(x)

g(x) = f(x) + k

g(x) = 3x - 1 + 18

g(x) = 3x + 17

The value of k is 18

Thus, the value of k is 18, and the transformation equation is g(x) = f(x) + 18 if the linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x).

Learn more about the geometric transformation here:

brainly.com/question/16156895

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