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2. QuadraticFunction A quadraticfunction has an x2term 2x2 + 5x – 6 or x2 – 4 or 10x2 + 5x or (x-2)2 Itsshapeis a PARABOLA

3. QuadraticFunction The place where the parabola turnsaroundiscalled the VERTEX The vertex is the minimum or maximum

4. 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

5. 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

6. Vertex Form y = a(x-h)2 + k (h,k) is the vertex a is the slope

7. To graph in vertex form 1st point – find vertex 2nd point – use slope to move from vertex 3rd point – reflect 2nd point in AOS

8. Examples – graph eachequation

9. 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

10. Examples – name the transformations

11. Examples – write the equation Reflect, up 5, left 6 Thinner by 5, left 7 Down 8