Answer:
The parent sine graph 
has a range of -1 ≤ y ≤ 1
It crosses the x-axis x = 0° ± 180°n
The maximum points occur when x = 90° ± 360°n and y = 1
The minimum points occur when x = 270° ± 360°n and y = -1
The sketch the graph of function 
we simply move the graph of up 2 units.
So this means it will have a range of 1 ≤ y ≤ 3
It no longer crosses the x-axis.
The maximum points occur when x = 90° ± 360°n and y = 3
The minimum points occur when x = 270° ± 360°n and y = 1
<u>Attached diagram</u>
The parent function is shown in grey (dashed line)
The function is shown in red.
The question we need to ask is what percent of 2 is 40?
40 is 20 times 2 so 20 would be 2,000%
We need to subract 100% from any percent change:
2,000% - 100% = 1,900%
ANSWER: 1,900%
Answer:
Step-by-step explanation:
The average rate of change of a function f between a and b (a< b) is :
R =[f(b)-f(a)] ÷ (a-b)
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Let R be the average rate of change of this function
f(6) = 2×6^2 - 7×6 = 72-42 = 30
f(2) = 2×2^2 - 7×2 = 8-14 = -6
R = [f(6) - f(2)]÷ (6-2)
R = [30-(-6)] ÷ 4
R = -36/4
R = -9
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The average rate of change of this function is -9
Answer:
The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
Step-by-step explanation:
We need to find equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)
We need a line parallel to x=-2 or x+2=0 it should be of form x+k=0
We need to find k, by putting value of x=-5 as given in question the point(-5,4)
-5+k=0
k=5
So, the equation of line will be found by putting k=5:
x+k=0
x+5=0
x=-5
So, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x=-5
Option A is correct.
