Question

What is the graph of y = cos(x) +3?

Answer 1

Graph y=cos(x)+3. y=cos(x)+3. Use the form acos(bx−c)+d a c o s ( b x - c ) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. a=1.

Answer 2

Given function: f(x) = cos x + 3

To Draw: Graph of f(x)

As we know graph of trigonometric function cos x is a continuous graph with amplitude 1 .i.e., graph is 1 unit above and 1 unit down from the middle of graph.

If we add a constant to the trigonometric function it does not change any thing it just shift the function up or down according to value of constant.

Here 3 is added to cos x ⇒ Gr pah of cos x will be shifted 3 units upward.

Therefore, The graph we obtain is attached.