Translation by h (right) and k (up)
g(x)=f(x-h)+k
=f(x-4)^2+2
so h=4, k=2
horizontal translation (to the right) is h=+4, but is shown as -4 for the translation value.
5. The 5th figure will have 30 tiles.
6. The 6th figure will have 42 tiles.
7. The pattern is non-linear (quadratic).
8. The 20th figure can be made with 420 tiles.
_____
The Nth figure is made with n*(n+1) tiles. To answer question 8, you must solve
.. n(n +1) = 420
.. n^2 +n -420 = 0
.. (n +21)(n -20) = 0
.. n = 20 or -21 . . . . the negative solution is extraneous
Answer:
8.1
Step-by-step explanation:
8.1 is the highest as you would look at the first number before the decimal and is the highest in this equation.
Answer:
4
Step-by-step explanation:
The 1st cylinder used to fill the pitcher has:
height:
h = 9 in
radius:
r = r
The volume of a cylinder is given by:

Therefore, the volume of the 1st cylinder is

We are told that the water inside this cylinder can fill a certain pitcher, so this is also the volume of the pitcher.
Then, we have a second cylinder, which has height
h = 9 in
and radius
r' = 2r
So the volume of this cylinder is

This means that the number of pitchers that can be filled by this 2nd cylinder is

Answer:
9 cups of flour
Step-by-step explanation:

3:1 = y:3
1 × y = 3 × 3
y = 9
9 cups of flour