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# Alg2 lesson 6-6

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### Alg2 lesson 6-6

1. 1. Vertex form :<br />y = a(x – h)2 + k<br />Standard form:<br />y = ax2 + bx + c<br />-b2a<br />-b2a<br />Line of symmetry: x = ___<br />Vertex: ( ___ , f(____ ))<br />Line of symmetry: x = h<br />Vertex: (h, k)<br />-b2a<br />y-intercept = (0, c)<br />y-intercept = (0, ah2 + k)<br />
2. 2. y = x2<br />Vertex: (0, 0)<br />
3. 3. y = a(x – h)2 + k<br />-a  flip upside down<br />a>1  skinny<br />0<a<1  wide<br />+k  shift up<br />-k  shift down<br />+h  shift left<br />-h  shift right<br />
4. 4. y = x2 <br />Vertex: (0, 0)<br />y = x2 + 2<br />Vertex: (0, 2)<br />
5. 5. y = x2 <br />Vertex: (0, 0)<br />y = x2 + 2<br />Vertex: (0, 2)<br />y = x2 - 3<br />Vertex: (0, -3)<br />
6. 6. y = x2<br />Vertex: (0, 0)<br />
7. 7. y = x2<br />Vertex: (0, 0)<br />y = (x + 1)2<br />Vertex: (-1, 0)<br />
8. 8. y = x2<br />Vertex: (0, 0)<br />y = (x + 1)2<br />Vertex: (-1, 0)<br />y = (x – 2)2<br />Vertex: (2, 0)<br />
9. 9. y = x2<br />Vertex: (0, 0)<br />y = (x + 1)2 – 3 <br />Vertex: (-1, -3)<br />
10. 10. y = x2<br />Vertex: (0, 0)<br />y = (x – 2)2 + 1 <br />Vertex: (2, 1)<br />
11. 11. y = x2<br />Vertex: (0, 0)<br />
12. 12. Write in vertex form. Then graphthe function.<br />complete the square<br />Vertex: (-1, 3)<br />Example 6-2a<br />
13. 13. Write in vertex form. Then graphthe function.<br />Vertex: (-3, -4)<br />Example 6-2a<br />
14. 14. Write in vertex form, then graph the function.<br />Vertex: (-1, 4)<br />Opens down<br />skinny<br />Example 6-3a<br />
15. 15. Vertex: (1, 2) so and <br />Write an equation for the parabola whose vertex is at (1, 2) and passes through (3, 4).<br />Example 6-4a<br />