Question

Consider the function y=-2-3cos(x+π). What effect the -2 have on the basic graph?

A. Horizontal shrift right 2 units
B. Vertical stretch by factor 2
C. Vertical shift down 2 units
D. Horizontal shift left 2 units

Please explain. Thank you!

Answer 1

you subtract 2 from each output, shifts down 2 units

Answer 2

So then C. Vertical shift down 2 units

Answer 3

yes, here is a general form....

Answer 4

What is 3 is that the amplitude

Answer 5

Y = Amplitude*cos(Angle + Phase Shift) + Vertical Shift

Answer 6

The phase shift is a horizontal slide of the graph,

Answer 7

No, look at your function, the -2 is outside the cosine term, it is the vertical shift

Answer 8

y = -3*cos(x+π) - 2

Y = Amplitude*cos(Angle + Phase Shift) + Vertical Shift

Answer 9

ok I see now if they asked what pi had would that be a horizontal shift

Answer 10

right

Answer 11

you are adding pi to the angle, so you shift over on the angle axis (x-axis)

Answer 12

thanks again

Answer 13

welcome

Answer 14

hey...

Answer 15

In Desmos graph, you can graph

y = A * cos(x+B) + C

A Slider will appear for A, B, and C , you can slide a bar and change those values on the fly, and view what happens to the graph. It should help you understand what each term is there for.