Changing Forms of a Quadratic HWK

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CCGPS Geometry
Unit 4 – Graphing Quadratics
4.3 - Homework
Name: ________________________________________________ Date: _______________________
Converting Forms of a Quadratic
Convert from vertex form to standard form.
1. y  2  x  1  1
2. y    x  3   5
3. y  3  x  2   7
4.
y   x  3  1
2
2
2
2
5.
y  2  x  1  5
6.
y  4  x  2  7
7.
y  4  x  3   10
8.
y  3  x  7  6
2
2
2
2
Convert from standard form to vertex form. Then, give the axis of symmetry and vertex.
10. f  x   x2  2x  5
9. f  x   x2  4x  3
11. f  x   2x2  8x  17
12. f  x   x2  8x  15
13. f  x   x2  4x
14. f  x   2x2  12x  7
Find the axis of symmetry & vertex for the functions representing the trajectory of a ball.
15. f  t   16t2  64t  10 and f  t   16t2  64t  30
16. Which function will be higher at its peak?
17. How can you determine that by looking at the equation in standard form?
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