Answer:
see below
Step-by-step explanation:
7. f(x) = mx + b; b acts as the vertical shift moving the graph up if b is positive and down if b is negative.
f(x) = x-2 has shifted the graph of f(x) down 2 units.
g(x) = x + 7 has shifted the graph up 7 units.
If f(x) is changed to g(x) the vertical shift has gone from -2 to + 7 or (7-(-2) = 9 units up
8. f(x) = mx stretches the graph by a factor of m if m > 0 and compresses the graph by a factor of m if 0<m<1
f(x) = 3x stretches the graph by a factor of 3.
g(x) = 1/4x compresses the graph by a factor of 1/4
Rewrite the boundary lines <em>y</em> = -1 - <em>x</em> and <em>y</em> = <em>x</em> - 1 as functions of <em>y </em>:
<em>y</em> = -1 - <em>x</em> ==> <em>x</em> = -1 - <em>y</em>
<em>y</em> = <em>x</em> - 1 ==> <em>x</em> = 1 + <em>y</em>
So if we let <em>x</em> range between these two lines, we need to let <em>y</em> vary between the point where these lines intersect, and the line <em>y</em> = 1.
This means the area is given by the integral,

The integral with respect to <em>x</em> is trivial:

For the remaining integral, integrate term-by-term to get

Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line <em>y</em> = 1 and (0, -1)), so its area is 1/2*4*2 = 4.
Answer: If the team has one 3 out of 4 of their games, the ratio is 3/4, or 75%
Step-by-step explanation:
Answer:
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