Which description matches the transformations y = cos x undergoes to
produce y = -3 cos(x) + 1 ?
A. Reflection across the y-axis, vertical shift up by 1 unit, horizontal
shift right by 3 units
B. Vertical stretch by factor 3, reflection across the x-axis, then a
vertical shift up 1 unit
C. Horizontal compression by factor 3, vertical shift by 1 unit up, then
a reflection across the x-axis
D. Horizontal shift left 3 units, then vertical shift up by 1 unit

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

the answer is d

step-by-step explanation: