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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