Answer:
a) g(x) = f(x) + 3
So g(x) is a vertical translation of f(x), 3 units upwards
b) g(x) = 3x² - 1 + 3
g(x) = 3x² + 2
The graph has shifted 3 units upwards, so has the vertex.
The vertex of f is (0,-1)
Whereas the vertex of g is (0,2)
-1 + 3 = 2
Answer:

Step-by-step explanation:
we know that


therefore

14 over 4509 would be an equvilent fraction
If there was 31 dogwood trees already there and after there was a total of 96 dogwood trees therefore all you would have to do is subtract (96-31) you would get 65 so the answer is 65
These ratios are not proportional.
Explanation:
If the ratio 8:32 were simplified, it would equal 1:4 because they can both be divided by 8. But since 16 x 4 does not equal 72, they cannot be divided by 4 to make a simplified ratio such as the first example.
Hope I helped, and good luck!