1. Converting Quadratic Equations A step-by-step guide with practice

2. Intercept Form to Standard Form Write the equation in standard form: y = – 2(x + 3)(x – 2)

3. Intercept Form to Standard Form Write the equation in standard form: y = – 2(x + 3)(x – 2) y = – 2(x 2 + x – 6) multiply binomials

4. Intercept Form to Standard Form Write the equation in standard form: y = – 2(x + 3)(x – 2) y = – 2(x 2 + x – 6) multiply binomials y = – 2x 2 – 2x + 12 distribute coefficient

5. Vertex Form to Standard Form Write this equation in standard form: y = 2(x – 3) 2 + 4

6. Vertex Form to Standard Form Write this equation in standard form: y = 2(x – 3) 2 + 4 y = 2(x 2 – 6x + 9) + 4 square the binomial

7. Vertex Form to Standard Form Write this equation in standard form: y = 2(x – 3) 2 + 4 y = 2(x 2 – 6x + 9) + 4 square the binomial y = 2x 2 – 12x + 18 + 4 distribute

8. Vertex Form to Standard Form Write this equation in standard form: y = 2(x – 3) 2 + 4 y = 2(x 2 – 6x + 9) + 4 square the binomial y = 2x 2 – 12x + 18 + 4 distribute coefficient y = 2x 2 – 12x + 22 combine like terms

9. Standard Form to Intercept Form Write the equation in intercept form: y = – 15x 2 + 3x + 12

10. Standard Form to Intercept Form Write the equation in intercept form: y = – 15x 2 + 3x + 12 y = – 3(5x 2 – x – 4) factor out GCF

11. Standard Form to Intercept Form Write the equation in intercept form: y = – 15x 2 + 3x + 12 y = – 3(5x 2 – x – 4)factor out GCF y = – 3(5x + 4)(x – 1) factor the trinomial

12. Standard Form to Vertex Form Write the equation in vertex form: y = 3x 2 – 6x + 8

13. Standard Form to Vertex Form Write the equation in vertex form: y = 3x 2 – 6x + 8 y = 3(x 2 – 2x ) + 8group x terms & factor out “a”

14. Standard Form to Vertex Form Write the equation in vertex form: y = 3x 2 – 6x + 8 y = 3(x 2 – 2x ) + 8group x terms & factor out “a” y = 3(x 2 – 2x + 1) + 8 – 3 complete the square

15. Standard Form to Vertex Form Write the equation in vertex form: y = 3x 2 – 6x + 8 y = 3(x 2 – 2x ) + 8 group x terms & factor out “a” y = 3(x 2 – 2x + 1) + 8 – 3 complete the square y = 3(x – 1) 2 + 5 factor and combine

16. Vertex Form to Intercept Form Write the equation in intercept form: y = (x + 4) 2 - 1

17. Vertex Form to Intercept Form Write the equation in intercept form: y = (x + 4) 2 - 1 y = x 2 + 8x + 16 - 1 square the binomial

18. Vertex Form to Intercept Form Write the equation in intercept form: y = (x + 4) 2 - 1 y = x 2 + 8x + 16 - 1 square the binomial y = x 2 + 8x + 15combine terms

19. Vertex Form to Intercept Form Write the equation in intercept form: y = (x + 4) 2 - 1 y = x 2 + 8x + 16 - 1 square the binomial y = x 2 + 8x + 15 combine terms y = (x + 3)(x + 5)factor

20. Intercept Form to Vertex Form Write the equation in vertex form: y = (x – 3)(x + 1)

21. Intercept Form to Vertex Form Write the equation in vertex form: y = (x – 3)(x + 1) y = x 2 – 2x - 3 foil

22. Intercept Form to Vertex Form Write the equation in vertex form: y = (x – 3)(x + 1) y = x 2 – 2x - 3 foil y = x 2 – 2x - 3 get ready to complete the square y = x 2 – 2x + 1 – 3 – 1complete the square

23. Intercept Form to Vertex Form Write the equation in vertex form: y = (x – 3)(x + 1) y = x 2 – 2x - 3 foil y = x 2 – 2x - 3 get ready to complete the square y = x 2 – 2x + 1 – 3 – 1complete the square y = (x - 1) 2 - 4factor and combine