CCSS.Math.Content.HSG.GPE.A.1

The image provided is the equation of a(n)...

• circle
• ellipse
• parabola
• hyperbola

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CCSS.Math.Content.HSG.GPE.A.1

What is the center of the circle with equation x² + y² = 1?

• (1, 1)
• (0, 0)
• not enough information

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CCSS.Math.Content.HSG.GPE.A.1

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

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CCSS.Math.Content.HSG.GPE.A.1

Classify the given conic section and match it's characteristics:
(x - 3)² + ( y + 5)² = 25

• Ellipse; center (3, -5)
• Ellipse; Center (-3,  5) ; radius = 5
• Circle; Center (3, - 5) ; radius = 25
• Circle; Center (3, - 5) ; radius = 5

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CCSS.Math.Content.HSG.GPE.A.1

Write the equation of a circle with center
(7, 0) with radius 3. 

• (x - 7)² + y² = 9
• x² + (y -7)² = 9
• (x - 7)² + y² = 3
• x² + (y -7)² = 3

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CCSS.Math.Content.HSG.GPE.A.1

In the equation (x-4)²+(x-3)²=25, the center of the circle is at...

• (-3, -4)
• (4, 3)
• (-4, -3)
• (3, 4)

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CCSS.Math.Content.HSG.GPE.A.1

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)
• (-3, -2)
• (-2, -3)
• (2, 3)

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CCSS.Math.Content.HSG.GPE.A.1

Determine the equation of the circle in standard form: x² + y² + 6x - 12y + 20 = 0

• (x-3)² + (y+6)² = 25
• (x+3)² + (y-6)² = 25
• (x-3)² + (y+6)² = 45
• (x+3)² + (y-6)² = 5

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CCSS.Math.Content.HSG.GPE.A.1

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

• (x+2)² + (y+3)² = 49
• (x+2)² + (y+3)² = 13
• (x-2)² + (y-3)² = 49
• (x-2)² + (y-3)² = 13

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CCSS.Math.Content.HSG.GPE.A.1

What does (h,k) stand for in the standard circle equation?

• (h,k) is the center of the circle

• (h,k) is a point on the circle.

• (h,k) is a point that we guess and find

• (h,k) is the distance of the circle

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CCSS.Math.Content.HSG.GPE.A.1