Answer:
f(0) = 31
Step-by-step explanation:
We are given the following function:

f(0).
This is the value of f when
. So

So f(0) = 31
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
To find 4/5 of 20.5 the first step is to convert 4/5 into a decimal. You can do that by dividing 4 by 5.
4/5 is .8 so your equation would now be .8 of 20.5
"of" states that you are multiplying, so .8 times 20.5 is 16.4
4/5 of 20.5 is 16.4
Step-by-step explanation:
<u>Combine Like-Terms:</u>
-0.8m + 3 - 12.5m + 95.36m
-13.3m + 3 + 95.36m
82.06m + 3
82.06m + 3 is your simplified expression.
First you’ll multiply to get 3x2x2 + 4x3. Then add them together. 12+12=24