topic badge
CanadaON
Grade 11

Single transformations of sine and cosine

Interactive practice questions

Consider the two graphs:

$A$A: $y=\sin x$y=sinx

$B$B: $y=\sin x+3$y=sinx+3

Loading Graph...

What vertical shift of $y=\sin x$y=sinx results in the graph of $y=\sin x+3$y=sinx+3?

Translating the graph $4$4 units upwards.

A

Translating the graph $4$4 units downwards.

B

Translating the graph $3$3 units downwards.

C

Translating the graph $3$3 units upwards.

D
Easy
< 1min

Consider the two graphs:

$A$A: $y=\cos x$y=cosx

$B$B: $y=\cos x+4$y=cosx+4

Easy
< 1min

Consider the function $y=\sin x+2$y=sinx+2.

Easy
3min

Consider the function $y=\cos x+2$y=cosx+2.

Easy
2min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

11M.C.2.6

Determine, through investigation using technology, the roles of the parameters a, c, and d in functions in the form f(x) = a sinx, f(x) = sinx + c, and f(x) = sin(x – d), and describe these roles in terms of transformations on the graph of f(x) = sinx with angles expressed in degrees

What is Mathspace

About Mathspace