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Quadratic Functions. Powerpoint Templates. Quadratic Function. A quadratic function has an x 2 term 2x 2 + 5x – 6 or x 2 – 4 or 10x 2 + 5x or (x-2) 2 Its shape is a PARABOLA. Quadratic Function. The place where the parabola turns around is called the VERTEX

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**QuadraticFunctions**Powerpoint Templates**QuadraticFunction**A quadraticfunction has an x2term 2x2 + 5x – 6 or x2 – 4 or 10x2 + 5x or (x-2)2 Itsshapeis a PARABOLA**QuadraticFunction**The place where the parabola turnsaroundiscalled the VERTEX The vertex is the minimum or maximum**QuadraticFunction**The vertical line thatgoesthrough the vertex iscalled the AXIS OF SYMMETRY The axis of symmetryislike a mirror, the parabola is the same on eitherside**QuadraticFunction**The SOLUTIONS of a quadraticfunction are the x-intercepts (the place where the graph hits the x-axis) There canbezero, one, or two solutions Solutions are alsocalledzeros or roots**Vertex Form**y = a(x-h)2 + k (h,k) is the vertex a is the slope**To graph in vertex form**1st point – find vertex 2nd point – use slope to move from vertex 3rd point – reflect 2nd point in AOS**Transformations**y = a(x-h)2 + k a <1 makeswider >1 makesthinner negative – reflects h negative moves right positive moves left k negative moves down positive moves up**Examples – write the equation**Reflect, up 5, left 6 Thinner by 5, left 7 Down 8

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