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?