2 8 Bzca5e
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2 8 Bzca5e 2 8 Bzca5e Presentation Transcript

  • Section 2.8 Distance and Midpoint Formulas; Circles
  • The Distance Formula
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  •  
  • Example Find the distance between (4,-5) and (9,-2).
  • The Midpoint Formula
  • (-1,5) (6,8)
  • Example Find the midpoint of the segment whose endpoints are (-1,7) and (-5,9).
  • Circles
  •  
  • Graphing Calculator
  • Write the standard form of the equation of the circle with center (-4,1) and radius of 3. Standard Form (-4,1) 3
  • Find the center and radius of the circle whose equation is Graph the equation. Use the graph to identify the relation’s domain and range. Why is it a relation and not a function? 3 (-3,4) Domain: [-6,0]; Range:[1,7] Center(-3,4); radius=3
  • Example Write the standard form of the equation of the circle with center at (-2,7) and a radius of 5.
  • Example Find the center and radius of the circle whose equation is below. Graph the equation. Use the graph to identify the relation’s domain and range.
  • General Form
  • ? ?
  • Example Complete the square and write the equation in standard form. Then give the center and radius of the circle and graph the equation.
  • Example Complete the square and write the equation in standard form. Then give the center and radius of the circle and graph the equation.
  • (a) (b) (c) (d) Find the distance between the points (-1,8) and (9,5).
  • (a) (b) (c) (d) Find the midpoint of the line segment with the endpoints of (-1,-1) and (- 5,8).
  • (a) (b) (c) (d) Write the equation of the line with center at (0,7) and a radius of 4.