Question

If K(x)=L(x) Then in your own words describe the effects that 2L(3x−1)+4 has on the graph of K(x)

Answer 1

The expression 2L(3x-1)+4 represents the effects of 2L(3x-1) on the graph of K(x). It involves evaluating the expression inside the parentheses, multiplying it by 2, shifting it to the right, and adding 4 units.

Step-by-step explanation:

The expression 2L(3x-1)+4 represents the effects of 2L(3x-1) on the graph of K(x), where K(x) and L(x) are functions. Let's break it down step by step:

1. First, evaluate the expression 3x-1 within the parentheses. For example, if x=2, then 3x-1=5.
2. Next, evaluate L(x) using the result from step 1. So if L(x)=4x+2, and we obtained 5 from step 1, then L(5)=4(5)+2=22.
3. Now, multiply 2 by the result obtained in step 2. If 2L=2(22), then 2L(3x-1)=44(3x-1).
4. Finally, add 4 to the expression obtained in step 3, which gives us 44(3x-1)+4.

This expression represents the effects on the graph of K(x) when the value of L(x) is multiplied by 2, shifted by 1 unit to the right, and then increased by 4 units.