Answer:
D. f(x) is shifted up 1 unit to g(x).
Step-by-step explanation:
Just let's look at the y-intercept of each function.
f(0) = 0
g(0) = 1
Also remember that a vertical shift of N units is written as:
g(x) = f(x) + N
where if N is positive, the shift is upwards, and if N is negative, the shift is downwards.
then we can write, for the particular value x = 0
g(0) = f(0) + N
replacing the values
1 = 0 + N
1 = N
Then N is positive, so we have a shift up of one unit.
The correct option is:
D. f(x) is shifted up 1 unit to g(x).
Answer:

Step-by-step explanation:
This question is illustrated using the attachment and will be solved using cosine formula

<em>Let the strawberry side be s, the Green beans be b and the pumpkins be p.</em>
<em />
The cosine formula in this case is:

Where



The equation becomes



Collect Like Terms


Using quadratic formula:

Where







or 
or 
or 
But length can not be negative.
So:

Answer:
2.25π square inches
Step-by-step explanation:
Area = π
Diameter = 2r
So in this case, radius = 1.5 inches
Plugging that into the area formula produces the answer
(1, 3.5 ) and (3, 3.5 )
the endpoints of the midsegment are at the midpoints of DE and DF
using the midpoint formula with D(0, 7), E(2, 0), F(6, 0)
midpoint of DE = [
(0 + 2),
(7 + 0)] = (1, 3.5)
midpoint of DF = [
(0 + 6),
(7 + 0)] = (3, 3.5)