What is the first step in recognizing a conic section from an equation?

Conic Sections and Completing the Square

Interactive Video
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Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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23 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Graph the equation
Identify the highest degree term
Complete the square
Factor the equation
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What operation is performed to both sides of the equation to maintain equality when completing the square?
Add the same number
Subtract the same number
Divide by the same number
Multiply by the same number
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the center of the circle represented by the equation x^2 + y^2 + 4y = -30?
(0, 2)
(0, -2)
(2, 0)
(-2, 0)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the radius of a circle from its equation in standard form?
Square the constant on the right side
Double the constant on the right side
Take the square root of the constant on the right side
Halve the constant on the right side
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of a circle in standard form?
x^2 + y^2 = r^2
(x - h)^2 + (y - k)^2 = r^2
(x - h)^2/a^2 + (y - k)^2/b^2 = 1
ax^2 + by^2 = c
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of a circle with the equation x^2 + y^2 + 4y = -30 after completing the square?
14
√14
28
√28
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the constant term in the standard form of a circle's equation?
It represents the circumference
It represents the radius squared
It represents the diameter
It represents the area
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