Unit 5 Mixed Practice on Conic Sections

Multiple Choice

How do you graph a circle given its equation in standard form?

• Connect the points on the graph to form a circle

• Plot the center and use the radius to plot points around it to form the circle.

• Use the equation to find the slope and intercept

• Graph the equation as a straight line

Multiple Choice

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

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

Multiple Choice

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

• 4
• 2
• 3
• 16

Multiple Choice

What is the center of the given equation?

• (h, k) = (4, 3)
• (h, k) = (-4, -3)
• (h, k) = (-4, 3)
• (h, k) = (4, -3)

Multiple Choice

Identify the center and the length of a and b.

• C: (0,4)  a= 25, b=4
• C: (0,0)  a= 4, b=25
• C: (0,5)  a= 2, b=5
• C: (0,0)  a= 5, b=2

Multiple Choice

What is the center of the shifted ellipse?

• (0,0)
• (-3,1)
• (1,-3)
• (3,-1)

Multiple Choice

What are the vertices of the ellipse?

• (0, 0)
• (7, 1) and (-1, 1)
• (3, -5) and (3, 7)
• (3, 1)

Multiple Choice

What is the center of this hyperbola?

• (4,-2)

• (4,2)

• (-2,4)

• (2, 4)

• (7.5,3)

Multiple Choice

Classify the conic section.

• Circle
• Ellipse
• Line
• None of these

Multiple Choice

What type of conic section is $$3x^2-y^2-11x+4=0$$  ?

• Ellipse

• Circle

• Hyperbola

• Parabola

Multiple Choice

What type of conic section is

$$2x^2+2y^2-4x-16y-9=0$$  ?

• Circle

• Ellipse

• Parabola

• Hyperbola

Multiple Choice

What type of conic section is

$$x^2-x+3y+6=0$$  ?

• Hyperbola

• Circle

• Ellipse

• Parabola

Multiple Choice

What is the vertex of the parabola $$\left(y+5\right)^2=-12\left(x+4\right)$$  

• $$\left(-5,-4\right)$$  

• $$\left(5,4\right)$$  

• $$\left(-4,\ -5\right)$$  

• $$\left(4,5\right)$$