Quiz about Conic Sections Formulas and Review

Question 1

Which type of conic section is this equation?

Accepted Answer

ellipse

Answer

circle

Answer

hyperbola

Answer

parabola

Question 2

Which type of conic section is this equation?

Accepted Answer

circle

Answer

ellipse

Answer

hyperbola

Answer

parabola

Question 3

Which type of conic section is this equation?

Accepted Answer

hyperbola

Answer

circle

Answer

ellipse

Answer

parabola

Question 4

Which formula is used to find the radius of a circle?

Accepted Answer

$$r=\sqrt[]{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$$

Answer

$$r=\left(\frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2}\right)$$

Answer

$$r=4p$$

Answer

$$r=mx+b$$

Question 5

What is the formula used to find the directrix of a parabola that opens up or down?

Accepted Answer

$$y=k-p$$

Answer

$$y=k+p$$

Answer

$$x=h-p$$

Answer

$$x=h+p$$

Question 6

What is the formula used to find the directrix of a parabola that opens left or right?

Accepted Answer

$$x=h-p$$

Answer

$$y=k-p$$

Answer

$$y=k+p$$

Answer

$$x=h+p$$

Question 7

Which equation represents the relationship between the foci and vertices/co-vertices in an ellipse?

Accepted Answer

$$c^2=a^2-b^2$$

Answer

$$c^2=a^2+b^2$$

Answer

$$c^2=\frac{a^2}{b^2}$$

Answer

$$c^2=a^2b^2$$

Question 8

Which equation represents the relationship between the foci and vertices in a hyperbola?

Accepted Answer

$$c^2=a^2+b^2$$

Answer

$$c^2=a^2-b^2$$

Answer

$$c^2=\frac{a^2}{b^2}$$

Answer

$$c^2=a^2b^2$$

Question 9

How do you know which denominator is $$a^2$$ in an ellipse?

Accepted Answer

It's the bigger number

Answer

It comes first

Answer

It's the smaller number

Answer

It's labeled

Question 10

How do you know which denominator is $$a^2$$ in a hyperbola?

Accepted Answer

It comes first

Answer

It's the bigger number

Answer

It's the smaller number

Answer

It's labeled

Question 11

How do you find the slope for the asymptotes for a horizontal hyperbola?

Accepted Answer

$$\pm\frac{b}{a}$$

Answer

$$\pm\frac{a}{b}$$

Answer

$$\pm\frac{b^2}{a^2}$$

Answer

$$\pm\frac{a^2}{b^2}$$

Question 12

How do you find the slope for the asymptotes for a vertical hyperbola?

Accepted Answer

$$\pm\frac{a}{b}$$

Answer

$$\pm\frac{b}{a}$$

Answer

$$\pm\frac{b^2}{a^2}$$

Answer

$$\pm\frac{a^2}{b^2}$$

Question 13

How far left/right or up/down do you go from the focus of a parabola to plot other points?

Accepted Answer

$$\left|2p\right|$$

Answer

$$\left|p\right|$$

Answer

$$4p$$

Answer

$$\left|4p\right|$$

Conic Sections Formulas and Review

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