University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2019
Views:

358

Pages:

2
Author:

Kailyn Pham

Algebra 2 Worksheet Name: KEY Date: Block: Section 5.1: Graphing Quadratic Equations Write the quadratic function in standard form. Determine whether the graph of the function opens up or down. 1. y = 3 - 2x - x ^ 2 y = - x ^ 2 - 2x + 3 y = 3x ^ 2 + 3x - 4 2. y = 3x + 3x ^ 2 - 4 opens up 3. y = - 4x ^ 2 - 5 y = - 5 - 4x ^ 2 Find the vertex and axis of symmetry of the parabola 4. y = x ^ 2 - 4x + 8 x = (- b)/(2a) = 4/(2(1)) = 4/2 = 2 y = 2 ^ 2 - 4(2) + 8 = 4 - 8 + 8 = 4 . V = (2, 4) a.0.5: x = 2 Graph the quadratic function. Label the vertex and axis of symmetry. V / (0, 0) 5. y = x ^ 2 Q.0.5: x = 0 V / (0, 1) 6. y = x ^ 2 + 1 X=0 V / (0, 2) 7. y = - x ^ 2 + 2 x = 0 8. y = x ^ 2 - 2x V: (1,-1) 0.0.5: X=1 v =(^ -1,2) 9. y = x ^ 2 + 2x + 3 a.0.s.: x = - 1 10. y = - 2x ^ 2 - 4x + 7 V / (- 1, 9) 0.0.S:X=-1 ↓ Identify the given form. Then write the quadratic function in standard form. 11. vertex y = 3 * (x - 2) ^ 2 + 1 y = 3x ^ 2 - 12x + 13 12. y = (x + 1) ^ 2 + 2 Vertex y = x ^ 2 + 2x + 3 13. y = - 2 * (x + 3) ^ 2 - 1 vertex y = - 2x ^ 2 - 12x - 19 14. y = 2(x + 3)(x - 1) intercept y = - 2x ^ 2 - 4x + 6 15. y = (x + 3)(x - 5) intercept y = x ^ 2 - 2x - 15 16. y= 4(x + 1)(x + 2) | intercept y = 4x ^ 2 + 12x + 8 A Graph the quadratic function. Label the vertex and axis of symmetry. V: (-1,3) 17. y = (x + 1) ^ 2 + 3 0.0.5.: X=-1 V / (2, - 5) v / (- 2, - 3) 18. y= (x - 2) ^ 2 -50.0.5.:x=2 19. y = - 2 * (x + 2) ^ 2 - 30s / x = - 2 I / (- 3, 0) * (- 5, 0) 0.0.s.: x = - 4 20. y=(x+3)(x+5) : (-4,-1) T / (2, 0) * (4, 0) 0.0. s / x = 3 21. y = (x - 2)(x - 4) V / (3, - 1) I / (3, 0) * (- 1, 0) 22. y= - 2(x - 3) (x+1)^ 0.0.5.:x=1 V = (1, 8)