Given:
The function is:
This function is stretched by a factor of 9 to g(x).
To find:
The equation of function function g(x).
Solution:
The vertical stretch is defined as:
...(i)
If 
, then the function f(x) compressed vertically by factor k.
If 
, then the function f(x) stretched vertically by factor k.
The given function f(x) is stretched by a factor of 9 to g(x). So the value of k is 9.
Substituting 
in (i), we get
![[\because f(x)=x^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3Dx%5E2%5D)
Therefore, the required function is .
1. One face is 5.1*2.5=12.75 un^2, one is 8.5*2.5=21.25, one is 6.8*2.5=17, and two are 1/2*6.8*5.1, so both are 34.68. Total is 85.68, rounded to 85.7 cm^2. (C)
2. The area of the circles is 2(π*2^2), which is about 25.1. The rectangle's area can be found as 2π*2*3, which is about 37.7. The total is rounded to 62.8 m^2 (D)
3. Rectangular faces: 3.6*1.8=6.48, 8.5*1.8=15.3, 7.7*1.8=13.86
Triangles: 2(1/2(3.6*7.7))=27.72
Total: 63.36, round to 63.4 km^2 (B)
Answer:
It just had relocation 4 in direction of positive and in term of x so
find f(x-5)
GL HF
Hi
2/3 y+y-4=31
Simplify both sides of the equation
2/3 y-4=31
Combine like terms
(2/3 y+y)+(-4)=31
5/3 y-4=31
Add 4 to both sides
5/3 y-4+4=31+4
5/3 y=35
Multiply both sides 3/5
(3/5)*(5/3 y)=(3/5)*35
y=21
I hope that's help !
