Question

Need a check-through

Answer 1

let's do 7 first since it's already done

a) period = 2pi/ b = 2pi/(1/2) = 4pi not 4/pi

b) good

c) it's asking how the graph is related to cos so you would need to mention the vertical stretch by 3 and the horizontal stretch by 2

Answer 2

a + b = good

c ) when it's asking "how is the graph related" they aren't just looking for "sinx or cosx they want to know what transformations has been done to it to get the new graph

Answer 3

a). What is the period? 1
b). What is the amplitude? 2
c). How is the graph related to its parent graph y = sinx or y = cosx? y=sinx, vertical stretch by 2 and horizontal stretch by 1

Answer 4

for number 8

Answer 5

vertical stretch by 2 = correct
horizontal stretch by 1 - check this again, the + 1 is a vertical shift up

also think about what multiplying x with 2*pi does

Answer 6

horizontal stretch by 2

Answer 7

this can get confusing but for horizontal transformations multiplying by something >1 is a shrink, so horizontal shrink by 1/(2pi)

Answer 8

6 is almost there just need to change c) to mention the vertical stretch and horizontal shrink

Answer 9

*horizontal shrink by 1/2

it's basically 1/(whatever is being multiplied to x) for shrinks