Parabola and its Intercepts There are 2 intercepts to calculate : y – interceptwhere x = 0...

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Transcript of Parabola and its Intercepts There are 2 intercepts to calculate : y – interceptwhere x = 0...

  • Slide 1
  • Parabola and its Intercepts There are 2 intercepts to calculate : y interceptwhere x = 0 substitute x = 0 into the equation and solve for y x interceptswhere y = 0 ( sometimes there are NONE ) Two ways to solve : a) Factoring Method b) Quadratic Formula x - intercepts y - intercept
  • Slide 2
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as :
  • Slide 3
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept- substitute x = 0 and solve for y
  • Slide 4
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 8 )
  • Slide 5
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 8 ) x intercept- is the equation factorable ? - are there 2 factors of 8 that add/sub = 6 ?
  • Slide 6
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 8 ) x intercept- is the equation factorable ? - are there 2 factors of 8 that add/sub = 6 ? YES
  • Slide 7
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 8 ) x intercept YES Factoring Method
  • Slide 8
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 8 ) x intercept - set y = 0 and solve for x Factoring Method
  • Slide 9
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 8 ) x intercept Factoring Method
  • Slide 10
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 8 ) x intercept = ( - 4, 0 ) and ( - 2, 0 )
  • Slide 11
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as :
  • Slide 12
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept- substitute x = 0 and solve for y
  • Slide 13
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 1 )
  • Slide 14
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 1 ) x intercept- this equation is not factorable
  • Slide 15
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 1 ) x intercept- this equation is not factorable QUADRATIC FORMULA a = 3 b = - 5 c = 1
  • Slide 16
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 1 ) x intercept QUADRATIC FORMULA a = 3 b = - 5 c = 1
  • Slide 17
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 1 ) x intercept = - You can keep your answer like this
  • Slide 18
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 1 ) x intercept = - Or split it up like this
  • Slide 19
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 1 ) x intercept = - Or use decimals, round to 2 places
  • Slide 20
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as :
  • Slide 21
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept
  • Slide 22
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 3 )
  • Slide 23
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 3 ) x intercept
  • Slide 24
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 3 ) x intercept Equation is not factorable, use quadratic formula
  • Slide 25
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 3 ) x intercept Equation is not factorable, use quadratic formula a = 5 b = 2 c = 3
  • Slide 26
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 3 ) x intercept Equation is not factorable, use quadratic formula a = 5 b = 2 c = 3
  • Slide 27
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 3 ) x intercept Equation is not factorable, use quadratic formula a = 5 b = 2 c = 3 Undefined, therefore there are NO x - intercepts
  • Slide 28
  • Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y intercept = ( 0, 3 ) x intercept = NONE Undefined, therefore there are NO x - intercepts