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Graphing tangent

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when we're talking about the tangent graph basically the tangent graph it almost is similar to the signs and cosine functions where you have critical points at Ford parts notice we have the starting point do you have the ink so  notice that every fourth you have a key Point happen so we're going to end up doing is but we're going to use that thing I do that would go for sound of cosines modify a little bit pretend it first thing can do is one major point between tangent and normal graph is tangent has a.  Of pie instead of 2 pi tangent also we're going to use the left **** matteau Azar starting point and then the right asymptote will represent the ending point  so we're going through more finding tension what I want to do is I want to find all the key part notice on number 10 wake up the amplitude of three so some cars going to be a vertical stretch that's going to affect my point in the middle still going to be at x equals negative pi over 2 and my ending point will still be at x equals your Barber to Summer go through into my Hospital line  does a high five General say Anchor Point I don't really use that term a lot but what I am going to do is I'm going to find my middle point and this is where am I in Jeopardy does notice the intercept mine goes through zero well once I get both of my assets then I know that my intercept wanted to be halfway between the. So halfway between -2 and pi/2 zero somehow 2.00 snow free  so my two halfway points were am I with this calls Anchor Point halfway between my **** Mateo and my intercept  so now that I have my two Anchor Point cover tote am I covered what I want to do now is to the halfway point between my left asymptote and a minor 7 which puts us at x equals negative pi over 4  normally we would be at make it at 1 but I have its vertical stretch of 3 from set of being  down one I'm actually going to go down 3 so I would have a point at negative pi over 4  bin 303 the right Anchor Point I would find a point halfway between The Intercept in my right after that which would be at fiber for  lunch spell noticed my right ankle point is halfway between the intercepts and the right hospital so that's their preferred but normally would be at 1 but because we have a vertical stretch once again of three we're going to be at 1 at 5 or 4 but 3 and then we have curving graph touches.

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Graphing tangent

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