Algebra 2
Converting Forms 2
Name:___________________________
Week 8, Block Day
𝑏
Convert the given quadratic function into the missing form (either general or vertex). Use the ℎ = − method to
2𝑎
convert from General Form to Vertex Form. Show all of your steps in your logbook.
1.) General Form: 𝑦 = 𝑥 2 − 12𝑥 + 3
2.) General Form: 𝑦 = 𝑥 2 + 5𝑥 + 40
Vertex Form:_________________________________
3.) Vertex Form :
𝑦 = −3(𝑥 + 2)2 − 10
Vertex Form:_________________________________
4.) Vertex Form:
𝑦 = (𝑥 − 8)2 + 5
General Form:_________________________________
General Form:_________________________________
5.) General Form: 𝑦 = 𝑥 2 + 24𝑥 − 30
6.) Vertex form: 𝑦 = −(𝑥 + 1)2 + 8
Vertex Form:_________________________________
General Form:_________________________________
7.) Match each of the graphs below to functions 1 – 6. Explain how you know the graph matches each function.
Graph A matches _______________________
because…
Graph C matches _______________________
because…
Graph E matches _______________________
because…
Graph B matches _______________________
because…
Graph D matches _______________________
because…
Graph F matches _______________________
because…