Graphs and equations of curves

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Identify the types and graphs of the curves various equations

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Find the equation of circle with the center at (1,3) and radius 3.

2 points

x^2-2x+1+y^2-6y+9=0

(x-1)^2+y^2-6y=0

x^2-1+y^2-3 = 9

x^2-2x+(y-3)^2=9

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Find the equation of ellipse with the radiuses a = 3 and b = 4 with the center at the Origin (0,0).

2 points

x^2/9+y^2/16=1

9x^2+16y^2=144

16x^2+9y^2=1

(x-3)^2+(y-4)^2=144

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Find the coordinates of the center of circle with the equation: x^2-2x+y^2-4y=4

2 points

(2,4)

(-1,-2)

(1,2)

(1,-2)

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Identify the graph of the following equation: y = -x^2+4x-3

1 point

Parabola, concave downward

Parabola, concave upward

Half of a circle

Half of an ellipse

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Identify the graph of the following equation: y = 2x^2+4x-3

1 point

Hyperbola

Parabola

Circle

Ellipse

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Identify the graph of the following equation: y = 2*sqrt(x)

1 point

Half of Parabola

Half of Hyperbola

Half of Circle

Half of Ellipse

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Identify the graph of the following equation: y^2 +2y+x^2+4x = 0

1 point

Hyperbola

Parabola

Circle

Ellipse

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Find the equation of the parabola with vertex at (-1,2)

2 points

y = x^2+2x+2

y = (x-1)^2+2

y = (x+1)^2

y = x^2+2x+3

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