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TRIG exam 2

QuestionAnswer
Identify the conic section: a=b circle
Identify the conic section: a≠b same sign elipse
Identify the conic section: a and b opposite signs hyperbola
Identify the conic section: if a=0 or b=0 parabola
Converting coordinates Cartesian to Cylindrical: find r (Radius) r^2 = a^2+b^2
Converting coordinates Cartesian to Cylindrical: find 𝚹 arctan(y/x) = 𝚹
Converting coordinates Cartesian to Cylindrical: z z is the same
Cylindrical Coordinates (r, 𝚹, z)
Spherical Coordinates (⍴, 𝚹, ɸ)
Converting coordinates Cartesian to Spherical: find ⍴ sq rt (x^2 + y^2 + z^2)
Converting coordinates Cartesian to Spherical: find 𝚹 arctan(y/x) = 𝚹
Converting coordinates Cartesian to Spherical: find ɸ arccos (z/⍴)
Transformations of graphs: vertical shift up y = f(x) + k
Transformations of graphs: vertical shift down y = f(x) - k
Transformations of graphs: shift left y = f(x+h)
Transformations of graphs: shift right y = f(x-h)
Transformations of graphs: compress y = f(xh)
Transformations of graphs: stretch y = f(x/h)
Graphing Parabola: vetex ( h , k )
Graphing Parabola: focus on a vertical parabola ( h, k +- p )
Graphing Parabola: focus on a horizontal parabola ( h +- p , k )
Graphing Parabola: directirix on a vertical parabola y = k +- p
Graphing Parabola: directirix on a horizontal parabola y = h +- p
Graphing Parabola: parabola opens left/right (y - k )^2 = 4p ( x - h )
Graphing Parabola: parabola opens up/down ( x - h )^2 = 4p( y - k )
Parabola graphing form (x - h)^2 = 4p ( y - k )
Graphing Hyperbola: if the x term is first, it opens on the x axis
Graphing Hyperbola: if the y term is firat, it opens on the y axis
Graphing Hyperbola: a is the distance from the center to the vertex
Graphing Hyperbola: c is the distance from the center to the focus
Created by: user-1977125
 

 



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