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

he sells x mount because thats eqivilqant to the maz and then divided into quarters

step-by-step explanation:

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

happy to

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