Answer:
g(x) = ¹/₁₆x²
Step-by-step explanation:
The parent function is ƒ(x) = x².
Then g(x) = (ax)² is either a compression or a stretch of the parent function .
0 < |a| < 1 is a stretch by a factor of 1/a.
Thus, if you want to stretch a parabola by a factor of 4 ,
a = ¼
and the equation of the new function is
g(x) = (¼x)² or
g(x) = ¹/₁₆x²
The diagram below shows that
ƒ(x) = 1 when x = 1 but
g(x) = 1 when x =4
The parabola has been stretched by a factor of 4.
(1) let "r" denote number of rabbits, "c" number of chickens
Set up the equations:
Answer: There are 575 rabbits and 425 chickens
(2) m - number of Mike's stamps, a - number of Andrew's stamps.
Set up equations:
Answer: Mike has 48 stamps. Andrew has 12 stamps.
Answer:
Step-by-step explanation:
Given are two functions represented one by graph and another by table
We can check the given statement one by one
1)
Average rate of change =
For g(x) avg rate of change
=
Hence g has a higher average rate of change than f.
True
2)f is linear and eventually exceeds g (f(0)>g(0) . True
3) True because y intercept is 10 for f while 8 for g
4) True because f(3) <g(3)
5) False both cannot be linear