By comparing equation
a=2,
x-h=x+1, -h=1, h=-1
k=-3
h=-1 move graph to the left (because h=-1 is negative) by 1 unit, h is moving to the left or to the right(horizontal shift)
a=2 vertical streaching
k=-3, k shows vertical shift , k=-3 moving 3 units down because it is negative
Answer:
The given function
was replaced with
then the value of k is -3
that is k=-3.
Step-by-step explanation:
The given function is
and when x=x+k then 
Now to find the value of k:
Put x=x+k in the function f(x)
Now comparing equations (2) and (3) we get







Therefore k=-3
Therefore the given function
was replaced with
then the value of k is -3
that is k=-3.
The first table is a function. The second table is not because the x value 3 has two y values of 3 and 5. Change one of the x values of 3 to 2 and it would be a function. (Change (3,3) to (2,3) or (3,5) to (2,5), or any number that isn't already listed as an x value)
Answer:
21
Step-by-step explanation:
C is the hypotenuse of a right triangle whose leg lengths are 7 and 9. Thus,
c^2 = 7^2 + 9^2 = 49 + 81 = 130.
Then c = sqrt(130) (answer)