Posted by Mara on Friday, February 8, 2008 at 8:11pm.
Complete parts a – c for each quadratic function.
a. Find the y-intercept, the equation of the axis of symmetry and the x-coordinate of the vertex.
b. Make a table of values that includes the vertex.
c. Use this information to graph the function.
1. f(x) = 2x2
2. f(x) = x2 + 4
3. f(x) = 2x2 – 4
4. f(x) = x2 – 4x + 4
5. f(x) = x2 – 4x – 5
6. f(x) = 3x2 + 6x – 1
7. f(x) = -3x2 – 4x
8. f(x) = 0.5x2 – 1
9. f(x) = ½x2 + 3x + 9/2
Determine whether each function has a maximum or a minimum value. Then find the maximum or minimum value of each function.
10. f(x) = 3x2
11. f(x) = x2 – 8x + 2
12. f(x) = 4x – x2 + 1
13. f(x) = 2x + 2x2 + 5
14. f(x) = -7 – 3x2 + 12x
15. f(x) = -½x2 – 2x + 3
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