For Exercises 9-16, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a parabola. b. Graph the curve. c. Identify key features of the graph. That is, If the equation represents a circle, identify the center and radius. If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity. If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity. If the equation represents a parabola, identify the vertex, focus, endpoints of the latus rectum, equation of the directrix, and equation of the axis of symmetry. − 9 x 2 + 16 y 2 + 64 y − 512 = 0
For Exercises 9-16, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a parabola. b. Graph the curve. c. Identify key features of the graph. That is, If the equation represents a circle, identify the center and radius. If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity. If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity. If the equation represents a parabola, identify the vertex, focus, endpoints of the latus rectum, equation of the directrix, and equation of the axis of symmetry. − 9 x 2 + 16 y 2 + 64 y − 512 = 0
Solution Summary: The author explains the nature of curve -9x2+16y2,+64y-512=0 among the types of circle, ellipse, hyperbola, or parabol
a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a parabola.
b. Graph the curve.
c. Identify key features of the graph. That is,
If the equation represents a circle, identify the center and radius.
If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity.
If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity.
If the equation represents a parabola, identify the vertex, focus, endpoints of the latus rectum, equation of the directrix, and equation of the axis of symmetry.
5+
4
3
2
1.
-B
-2
-1
1
4
5
-1
-2
-3
-4
-5
Complete an equation for the function graphed above
y =
60
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+
2
T
2
-2
-3
2
4 5 6
The graph above shows the function f(x). The graph below shows g(x).
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3
-1
-2
2
g(x) is a transformation of f(x) where g(x) = Af(Bx) where:
A =
B =
Let f(x) = 4√√
If g(x) is the graph of f(x) shifted up 6 units and right 3 units, write a formula for g(x)
g(x)=
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