F(x)=3x+1 (preimage)
g(x)=x+1 (image)
it is undergoing a reduction/compression with translation.
In general, a linear transformation is
g(x) = a*f(bx-h)+k
h=horizontal translation (right if h>0, left if h<0, note formula has minus sign)
k=vertical translation (up if k>0, down if k<0)
a=vertical stretching, (stretching if |a|>1, compression if |a|<1, also, if a<0, a reflection across the x-axis is performed)
b=horizontal stretching (|b|>0 compression, |b|<0 stretching, also, if b<0, a reflection across the y-axis is performed)
In this case,
g(x)=f(x/3), so it is a horizontal stretching.
Note that the y-intercept remains unchanged.
Answer:
hi! once you link the picture I will answer the problem.
Step-by-step explanation:
Answer:
y = 4,-6
Step-by-step explanation:
0 property states that 0 times any number is 0
applying that here, that means y+6 = 0 or y-4 = 0
0(y-4) = 0; (y+6)(0) = 0
y+ 6 = 0
y = -6
y-4 = 0
y = 4
Answer:
The solution would be (5, -2)
Step-by-step explanation:
To use this method, start by multiplying the second equation by -1. Then add the two equations together.
9x + 5y = 35
-2x - 5y = 0
------------------
7x = 35
x = 5
Now that we have the value of x, use it to solve either equation for y.
2x + 5y = 0
2(5) + 5y = 0
10 + 5y = 0
5y = -10
y = -2
Answer:
Solution : 8i
Step-by-step explanation:
We can use the trivial identities cos(π / 2) = 0, and sin(π / 2) = 1 to solve this problem. Let's substitute,
![8\left[cos\left(\frac{\pi }{2}\right)+isin\left(\frac{\pi \:}{2}\right)\right]](https://tex.z-dn.net/?f=8%5Cleft%5Bcos%5Cleft%28%5Cfrac%7B%5Cpi%20%7D%7B2%7D%5Cright%29%2Bisin%5Cleft%28%5Cfrac%7B%5Cpi%20%5C%3A%7D%7B2%7D%5Cright%29%5Cright%5D)
= 
And of course 1i = i, so we have the expression 8(0 + i ). Distributing the " 8, " 8( 0 ) = 0, and 8(i) = 8i, making the fourth answer the correct solution.
