Tangent Graphing

[PolySquared]

Hi,

Could someone please show and explain how to graph this? Thanks.

[VanillaRice]

Hi,

Could someone please show and explain how to graph this? Thanks.

How confident are you with sketching a standard y = tan(x) graph? If you can do that, applying transformations is relatively easy.

In brief, this is how I would go about it:
To find the x-intercepts, solve y = 0 for x (you may need a calculator in this particular instance). To find the y-intercept, let x = 0. Since the graph is translated two units down, the points of inflection will also be two units down. To find the asymptotes, solve

Fill in all the points/asymptotes in on your axes, and try to sketch the general shape.

Hope that helps

[PolySquared]

How confident are you with sketching a standard y = tan(x) graph? If you can do that, applying transformations is relatively easy.

In brief, this is how I would go about it:
To find the x-intercepts, solve y = 0 for x (you may need a calculator in this particular instance). To find the y-intercept, let x = 0. Since the graph is translated two units down, the points of inflection will also be two units down. To find the asymptotes, solve

Fill in all the points/asymptotes in on your axes, and try to sketch the general shape.

Hope that helps

I'm not sure if this is an error, but why did you write cos?

[VanillaRice]

I'm not sure if this is an error, but why did you write cos?

Recall that tan(x) can be written as sin(x)/cos(x). If cos(x) = 0, the value of tan is undefined (since you can't divide by zero). This is where your asymptotes will be. It's similar to how the hyperbola y = 1/x has an asymptote at x=0.

Hope that makes sense