Which set of transformations is needed to graph  f(x) = –0.1cos(x) – 4 from the parent cosine function? areflection across the  y-axis, vertical compression by a factor of 0.1, vertical translation 4 units upbreflection across the  x-axis, vertical compression by a factor of 0.1, vertical translation 4 units downcvertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the  y-axisdvertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the  x-axis

the parent function for this case is:

f (x) = cos (x)

we apply the following transformations:

reflections:

to graph y = -f (x), reflect the graph of y = f (x) on the x-axis.

we have then:

f (x) = -cos (x)

expansions:

to graph y = a * f (x)

if 0 < a < 1, the graph of y = f (x) is compressed vertically by a factor a

we have then:

f (x) = -0.1cos (x)

vertical translations :

suppose that k> 0

to graph y = f (x) -k, move the graph of k units down.

we have then:

f (x) = -0.1cos (x) -4

answer:

b

reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

answer: h

step-by-step explanation: