Circle
Help!
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| What is the standard equation for a circle? | (x-h)^2 + (y-k)^2 = r^2
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| What is the center of the circle called? | Midpoint of the diameter.
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| What is the standard equation for the circle whose center is (1,9) and radius is 5? | (x-1)^2 + (y-9)^2 = 25: Remember that (h,k) represents the center of the circle and the radius is represented by r^2(5). All you have to do is plug in the numbers!
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| How would you find the center of a circle who is represented by the equation x^2+y^2=16? | First write equation in standard form: (x-h)^2+(y-k)^2=r^2. Remember (h,k) represent the center of the circle, thus (h,k)=(0,0).
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| what is the difference between a circle and parabola? | The equation of a circle contains both x^2 and y^2 terms on the the same side of the equation with equal coefficiants, the equation fo a parabola has either an x^2 term or y^2 term but not both.
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| For a parabola that opens upward the lowest point is called? | The Vertex.
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| Twice a circle's radius is called? | The Diameter.
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| The distance from the center of a circle to any point on the circle is called? | The Radius.
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| How do you write x^2+y^2+4x-8y=16 in standard form? | To write the equation in standard form you must group the terms involving x and the terms involving y and then complete the square on each variable. (x^2+4x)+ (y^2-8y)=16.
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| What are the standard form equations for parabola's? | y=a(x-h)^2 + k and x=a(y-h)^2 + k.
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| Does the graph of the parabola given by the equation x=-2y^2 open to the left, to the right, upward or downward? | It opens to the left.
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