Question

please help, I have been on this question for a while. Lotta yummy PTS

Answer 1

Answer:

$y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3$

Step-by-step explanation:

Given equation:

$y=\left|\dfrac{1}{2}x-2\right|+3$                            

Translation

$f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}$

When translating a graph to the right, subtract the number of units from the x variable.

Translating the given graph one unit to the right:

$f(x-1) \implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3$

Simplifying:

$\implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3$

$\implies y=\left|\dfrac{1}{2}x-\dfrac{1}{2}-2\right|+3$

$\implies y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3$

Learn more about graph transformations here:

https://brainly.com/question/27975349

https://brainly.com/question/28041916