Answer:
1.) g(x) = 3(-x)+4
2.) Vertical compression by a factor of 1/3
Step-by-step explanation:
For the first image, "let g(x) be a vertical shift of f(x) = -x up 4 units followed by a vertical stretch factor of 3."
You can stretch or compress an entire graph by multiplying the equation by a constant, C.
If C > 1, it's a stretch.
If 0 < C < 1 , it's a compression.
So anyways, C goes in front of the parent function to transform it.
With the stretch, your equation is now 3(-x)
Then just go up 4 units by adding 4 to the end of your equation,
g(x) = 3(-x)+4, and you're done :)
2.) Referring back to what I said about compressions and stretches, multiplying a constant in front of the entire equation will be a vertical transformation.
if 0 < C < 1 , it's a compression.
1/3 is greater than 0 and less than 1 so it's a compression :)
