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.

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Presentation transcript:

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

Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as :

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

Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 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- is the equation factorable ? - are there 2 factors of 8 that add/sub = 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

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…

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…

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…

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 )

Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as :

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

Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 1 )

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

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

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

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

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

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

Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as :

Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept

Parabola and its Intercepts EXAMPLE :Find the x and y intercepts for the parabola whose equation is defined as : y – intercept = ( 0, 3 )

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

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

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

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

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

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