OnRamps Unit 2 Practice

Use matrices to find the general form for a circle that has the points (-1, 9), (6, 2), and (-1, -5).

• x² + y² - 2x + 4y + 44 = 0
• x² + y² + 2x - 4y - 44 = 0
• 2x² + 4y² + 44x + y = 0
• -2x² + 4y² + 44x + y = 0

Tags

CCSS.HSG.GPE.A.1

What is the point inside the parabola 'p' units from the vertex?

• vertex
• focus
• directrix
• axis of symmetry

True or False?
When the x-part is squared, the parabola opens up or down.

• True
• False

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

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

Tags

CCSS.HSG.GPE.A.1

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

• 4
• 2
• 3
• 16

Tags

CCSS.HSG.GPE.A.1

Use matrices to find the general form for a circle that has the points (-3, 15), (8, 4), and (-3, -7).

• x² + y² - 6x + 8y + 96 = 0
• 6x² - 8y
  6x² - 8y² -96x +y = 0
• -6x² + 8y² + 96x + y = 0
• x² + y² + 6x - 8y - 96 = 0

Tags

CCSS.HSG.GPE.A.1

How many points are needed to find the general form of an ellipse using matrices?

• 2
• 3
• 4
• 5

Tags

CCSS.HSG.GPE.A.3

Why do you need 3 points to find the equation of a circle in general form?

• A and C will be 0, leaving D, E, and F as your unknowns.
• A and C will be 1, leaving D, E, and F as your unknowns.
• You need 4 points to find an equation of a circle.
• A and C have to be different coefficients.

Tags

CCSS.HSG.GPE.A.1

Which of the following is true about an ellipse and a hyperbola in general form?

• A = C
• A = 0
• C = 0
• A does not equal C

Tags

CCSS.HSG.GPE.A.3

Which is true about a parabola in general form?

• A = C
• A = 1
• A or C equals 0