Answer:
Step-by-step explanation:
Vertically stretched. The action of vertically stretched is accomplished by altering a in
y = a* abs(x)
What that means is that you make a > 1. In this case, a = 2
So far, what you have is
y = 2*abs(x)
Six units down. The action of 6 units down is accomplished by a number added or subtracted to/from absolute(x). down is minus, up is plus.
y = 2*abs(x) - b. Since we are moving down, b<0
y = 2*abs(x) - 6
Four Units Right. This is the tough one because it is anti intuitive. You would think you should be adding something somewhere to get a right hand movement.
Not true.
To move right you subtract something in the brackets.
y = 2*abs(x - 4) - 6
Graph
Just to make things complete, I have graphed this for you. Desmos is wonderful for this kind of problem.
red: y = abs(x)
blue: y = 2*abs(x - 4) - 6
The area of a circle is the size of the 2-dimensional space inside the circle's
closed curved boundary.
The area can be calculated in terms of known linear measurements of the circle:
-- Area = (π) x (radius)²
-- Area = (π/4) x (diameter)²
-- Area = (1/2) x (circumference) x (radius)
-- Area = (1/4) x (circumference) x (diameter)
Any of these formulas will give you the area. The one you decide to use
just depends on what you already know about the circle.
90 volume because 3 multiples by 30 = 90