Answer:
Alternate Interior Angles
The difference between g(x) and f(x) is that g(x) has a 3 in front being multiplied.
g(x) is the same as saying y, so…
y=3(x+2)2
Because it is multiplying all of the terms by 3, y will be 3 times larger than it would be in f(x). Y is the vertical variable, so it will be stretched vertically by 3.
Alternatively, depending on how your teacher teaches it, 3 is in the location of the “a” value. A is a number that stretches an equation vertically by a factor of itself. Since a=3, the equation is stretched by a factor of 3.
Answer:
Inverse function are symmetric with respect to line y=x.
It can be written as:
and 
Let's rewrite the given function notation by using y term.
f(x) = 6x-1
i.,e y = 6x-1
Let's solve this equation for x;
Add 1 to both sides we get;
y+1 =6x
Divide both sides by 6 we get;
Now, switch the "x" and "y" we have;
In the function notation:
Answer:
c. 68, 112
Step-by-step explanation:
The angle is our unknown, so we will call it x. If the angle is x, then its supplement is 180 - x (supplementary angles add up to equal 180). The word "is" means "equals", so putting the equation together looks like this:
180 - x = 2x - 24. Add x to both sides and at the same time add 24 to both sides (combining like terms, in other words):
204 = 3x so
x = 68
x is the angle measure, so the angle is 68 and its supplement is 180 - 68 = 112
