Conic sections test review

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CONIC SECTIONS MODULE 7 POST ASSESSMENT REVIEW

"CNX_Calc_Figure_11_05_002.jpg.“ http://cnx.org/contents/44074a35-48d3-4f39-97e6-22413f78bab9@2 OpenStax CC BY-SA 4.0.


CIRCLES • STANDARD FORM •

• CENTER • (h,k)

• Radius • r

r (h,k)


PARABOLA • VERTICAL AXIS • STANDARD FORM

• HORIZONTAL AXIS • STANDARD FORM

• OPENS

• OPENS

• UP OR DOWN

• VERTEX • (h , k)

• FOCUS • (h , k+p)

• DIRECTRIX • y=k–p

• AXIS OF SYMMETRY • x=h

"CNX_Calc_Figure_11_05_004.jpg."http://cnx.org/contents/44074a35-48d3-4f39-97e6-22413f78bab9@2OpenStax CC BY-SA 4.0.

• LEFT OR RIGHT

• VERTEX • (h , k)

• FOCUS • (h+p , k)

• DIRECTRIX • y=h–p

• AXIS OF SYMMETRY • y=k


• HORIZONTAL MAJOR AXIS • STANDARD FORM

ELLIPSE

• VERTICAL MAJOR AXIS • STANDARD FORM

• CENTER

• CENTER

• (h , k)

• FOCAL AXIS • y=k

• FOCI • (h c, k)

• VERTICES • (h a, k)

• CO-VERTICES • (h, k b)

• MAJOR AXIS (length) • 2a

• MINOR AXIS (length) • 2b

• ECCENTRICITY "CNX_Calc_Figure_11_05_008.jpg."http://cnx.org/contents/44074a35-48d3-4f39-97e6-22413f78bab9@2 OpenStax CC BY-SA 4.0.

• (h , k)

• FOCAL AXIS • x=h

• FOCI • (h, k c)

• VERTICES • (h, k a)

• CO-VERTICES • (h b, k)

• MAJOR AXIS (length) • 2a

• MINOR AXIS (length) • 2b

• ECCENTRICITY


HYPERBOLA TRANSVERSE AXIS •• HORIZONTAL • STANDARD FORM • (h , k)

• FOCAL AXIS •

y=k

• CENTER •

(h , k)

• FOCAL AXIS •

x=h

• FOCI

• FOCI •

• STANDARD FORM •

• CENTER •

• VERTICAL TRANSVERSE AXIS

(h c, k)

(h, k c)

• VERTICES

• VERTICES

(h a, k)

• ASYMPTOTES

"CNX_Calc_Figure_11_05_012.jpg."http://cnx.org/contents/44074a35-48d3-4f39-97e6-22413f78bab9@2OpenStax CC BY-SA 4.0.

(h, k a)

• ASYMPTOTES


CLASSIFYING CONIC SECTIONS •• DISCRIMINANT

TEST

• THE EQUATION GRAPHS AS: • • • •

A CIRCLE IF AND B = 0 AND A = C AN ELLIPSE IF AND B1 OR AC A PARABOLA IF A HYPERBOLA IF


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