1)
i) Reflection about y axis i.e. x=0
ii) Horizontal shrink by scale factor 4
iii) vertical shift by 4 units up.
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2) f(x) passes through (1,-1) and (0,1)
So slope = (1+1)/(0-1) = -2
Using point slope form equation of f(x) is
y-1 = -2 (x-0) or y = -2x+1
g(x) passes through (0,-1) and (1,1)
Slope = (2/1) = 2
So using point slope form g(x) is
y-1=2x
Hence we find that y-1 = -2x is transformed into y-1 = 2x
i.e. there is a reflection of f(x) on the line y =1
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They messed up there has to be an 8 there for any recursive rule to work. otherwise, it would be 2
You would get 2 (2x+4). The two factors are the 2, and the (2x+4)
Answer : p=2
2p-2-5x=-2(7-2x)
First, work on the parentheses. So the -2 on the outside as to be multiplied by the 7 , which gets -14 . Then you multiply the -2 by the 2x, which is 4x.
It will go from -2(7-2x) to -14+4x
But if the -14+4x looks too confusing, you can just switch them around to look “normal”. So it would be 4x-14 .
Now that we’re finished with one side of the problem, we’ll go to the other side.
On the left side , there are two variables, or letters. Because they are the same letter (p) all you have to do is add them together.
3p
-5p
+—-
-2p
And then just carry the -2 that was originally there , so it’s -2p-2
Now the equation is
-2p-2 = 4p-14
So we’re going to add 2p to both sides.
The -2p on the left cancels out, and the 4p on the right side becomes 6p
-2 = 6p-14
Next, you are going to want to isolate the variable. (Leave the letter by itself) so you add 14 to the -14 , so it can cancel out. (AND DO THE SAME ON THE OTHER SIDE)
So, you add 14 to the -2 on the left of the equation. Which comes out to 12.
12 = 6p
Lastly, divide the 6p , so you can get the letter on it’s own. And do the same on the other side.
12 divided by 6 is 2
2 = p
OR
p = 2
Answer:
Step-by-step explanation:
