2. Which sequence of transformations takes the graph of y = k(x) to the graph of y=-k(x + 1)?
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of
B. Translate 1 to the left, scale vertically by , then reflect over the x-axis.
C. Translate left by , then translate up 1.
D. Scale vertically by z, reflect over the y-axis, then translate up 1.

A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1

Step-by-step explanation:

Initially:

We have the function

k(x + 1)

To translate a function k(x) a units to the left, we find k(x + a).

Thus, k(x+1) is the translation of k(x) 1 unit to the left.

-k(x+1)

Multiplying a function by a negative constant is the same as reflecting it over the x-axis, and then scaling it vertically by a factor of the constant.

Thus:

The answer is given by option A:

A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)

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.