Answer:
Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.
Step-by-step explanation:
We are asked to describe the transformation of function 
as compared to the graph of 
.
We can write our transformed function as:
Now let us compare our transformed function with parent function.
Let us see rules of transformation.
,
,
Scaling of a function: 
If a>1 , so function is stretched vertically.
If 0<a<1 , so function is compressed vertically.
As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.
As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.
Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.
Answer:
b=-2aH
Step-by-step explanation:
H=-b/2a
Apply cross multiplication
H×2a=-b
2aH=-b
In the question you are to find positive b not negative b so you have to take negative b to the left hand side of the equation to become positive b and take 2aH to the right hand side to become -2aH
therefore b=-2aH
A line segment that goes from one side of the circle to the other side of the circle and doesn't go through the center is called chord of circle.
Since,
The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.
The diameter is the length of the line through the center that touches two points on the edge of the circle.
So, we can say that every diameter of a circle is always called chord (longest chord) but every chord of the circle is not a diameter because the diameter passes to the circle's center but it not necessay that evey chord will pass through the center of the circle. Some, line segment goes from one side of the circle to the other side and doesn't pass through centre then for this case the line segment is called chord of the circle.
Hence, a line segment that goes from one side of the circle to the other side of the circle and doesn't go through the center is called chord of the circle.
Find out more information about chord of circle here:
brainly.com/question/1654080
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(1-cos^2(x)) csc^2(x)=1
one of the trigonometry rules is sin^2(x) + cos^2(x) = 1 if you rearrange this you realize that sin^2= 1-cos^2(x)
we also know that csc^2(x)= 1/sin^2(x) so now you can rewrite your equation as:
sin^2(x) x 1/sin^2(x) = 1
sin^2(x)/sin^2(x) =1
the LHS (left hand side) can cancel down to 1 because the numerator and denominator are the same
so then 1=1 Therefore LHS=RHS
Hope this helps
Answer:
See below
Step-by-step explanation:
If an expression is not dependent on x, it simplified form must not contain x. To show that this is the case for (a) and (b) we need to simplify them and assess:
(a)
Indeed, does not depend on x!
And (b)
Again, does not depend on x.
