Characteristics of Quadratics

Master quadratic function characteristics! Practice finding vertex, domain, range & more.

Use the graph for #1-41. What is the vertex and the axis of symmetry?Enter your vertex as a point without spaces and your axis of symmetry as an equation without spaces. Vertex: (4,-1)Axis of Symmetry: x=4 2. Is the vertex a maximum or minimum? Maximum Minimum 3. What is the domain? (1,7) [-1,∞) (-∞,∞) (-1,-∞) 4. What is the range? (1,7) [-1,∞) (-∞,∞) (-1,-∞) Use the graph for questions 5-8.5. What is the vertex and the axis of symmetry?Enter your vertex as a point without spaces and your axis of symmetry as an equation without spaces. Vertex: (1,-2)Axis of Symmetry: x=1 6. Is the vertex a maximum or minimum? Maximum Minimum 7. What is the domain? (-1,-3) [-2,∞) (-∞,∞) (-2,-∞) 8. What is the range? (1,7) [-1,∞) (-∞,∞) (-∞,-2] 9. Use the axis of symmetry to complete the graph 10. Use the axis of symmetry to complete the graph. 11. What is the vertex and the y-intercept of y = 2x2+ 8x + 6Write both answers as ordered pairs without spaces. Vertex: (-2,-2)y-intercept: (0,6) 12. What is the vertex and the y-intercept of y = -x2 - 2x + 4Write both answers as ordered pairs without spaces. Vertex: (-1,5)y-intercept: (0,4) 13. State the missing x-intercept and the vertex of y=(x+2)(x-6).Write both answers as ordered pairs without spaces. x-intercepts: (-2,0) and (6,0)Vertex (2,-16) 14. State the missing x-intercept and the vertex of y=-2(x+1)(x+3).Write both answers as ordered pairs without spaces. x-intercepts: (-1,0) and (-3,0)Vertex: (-2,2) Use the following equation for 15 and 16y=-2(x+4)2+515. Does the graph open up or down? Up Down 16. What is the vertex?Write your answer as an ordered pair with no spaces Vertex: (-4,5) Use the following equation for 17 and 18y=1 Does the graph open up or down? Up Down 18. What is the vertex? Vertex: (3,1)