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

if the pizza is divided equally into 2 equal halves then you would get

πr^2/2

where r is the radius of the pizza.

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