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 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.

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)

According to https://math.libretexts.org/

Graph  f(x)=−23x+5  by plotting points.

Solution

Begin by choosing input values. This function includes a fraction with a denominator of 3, so let’s choose multiples of 3 as input values. We will choose 0, 3, and 6.

Evaluate the function at each input value, and use the output value to identify coordinate pairs.

xxx=0=3=6f(0)f(3)f(6)=−23(0)+5=5→(0,5)=−23(3)+5=3→(3,3)=−23(6)+5=1→(6,1)(2.2.1)(2.2.2)(2.2.3)

Plot the coordinate pairs and draw a line through the points. Figure  2.2.1  represents the graph of the function  f(x)=−23x+5 .

graph of f(x)

Figure  2.2.1 : The graph of the linear function  f(x)=−23x+5 .

Step-by-step explanation:

so i did get the answers to A and C but not B yet

Step-by-step explanation:

A: vertical and horizontal shift.

C: horizontal shift would be the transformation you would have to use.

here are my 2 answers hope this helps

btw if i get the answers to B i will edit this.

so i did just figure it out and you have to use this equation  g(x) = f(x + k) to salve for question B have a great day

and i hope this helped.:)

answer: your correct answer is b. d.

step-by-step explanation: