x-Intercepts of a Quadratic Relation - MBF3C Quadratics II Date x-Intercepts of a Quadratic Relation x-intercepts(zeros roots The of a quadratic

x-Intercepts of a Quadratic Relation - MBF3C Quadratics II...

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MBF3C – Quadratics II Date: _________________________ x-Intercepts of a Quadratic Relation The __________________ of a quadratic equation are also called the __________ of the parabola x-intercepts (zeros) roots To graph a parabola in VERTEX form, ( ) k h x a y + = 2 , the following is needed: coordinates of the vertex (h, k) equation of the axis of symmetry x = h y – intercept x = 0 at the y-intercept y – intercept mirror point Same distance from the axis of symmetry as y-intercept Direction of opening +a Æ opens up, – a Æ opens down Vertically stretched |a| > 1 Æ step pattern 1a, 3a, 5a, etc. Vertically compressed |a|< 1 Æ a fraction/decimal < 1 To graph a parabola in STANDARD form, , the following is needed: c bx ax y + + = 2 coordinates of the roots (given by the factors) i.e. y = (x – 5)(x – 13) roots: x = 5 and x = 13 axis of symmetry (x value of vertex) add the roots and divide by 2 x = 5 + 13 x = 9 (the midpoint between the roots) 2 the optimal value (y value of vertex) Sub x = 9 into the Standard form of the equation.
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  • Fall '14
  • nunu
  • Quadratic equation, optimal value

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