Anyone help please will give brainliest

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  7.  y = f(x +2) -7

  8.  y = -f(x -5)

  9.  y = f(-x) +3

Step-by-step explanation:

The general transformation can be written ...

  y = a·f(b·(x -c)) +d

'a' is the vertical expansion factor. A negative value means the graph is reflected over the x-axis.

'b' is the horizontal compression factor. A negative value means the graph is reflected over the y-axis.

'c' is the number of units of right-shift.

'd' is the number of units of up-shift.

__

7. 2 left and 7 down means (c, d) = (-2, -7), so the transformed function is ...

  y = f(x +2) -7

__

8. reflected over x and 5 right means (a, c) = (-1, 5), so the transformed function is ...

  y = -f(x -5)

__

9. reflected over y and up 3 means (b, d) = (-1, 3), so the transformed function is ...

  y = f(-x) +3

_____

The graph shows an asymmetrical function that makes it possible to tell what the transformations are. The original is dashed orange. The various y-values correspond to the problem numbers. You can see that the transformations match the problem statements.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt