TEST YOURSELF
A. Transform the following quadratic function into the vertex form y = a (x – h)² + k.
1. y = x² + 4x + 5
y = (x² + 4x) + 5
[tex](\frac{b}{2} )^{2} =(\frac{4}{2})^{2} =(2)^{2}=4[/tex]
y = (x² + 4x + 4) + 5 – 4
y = (x + 2)² + 1
2. y = x² – 2x + 6
y = (x² – 2x) + 6
[tex](\frac{b}{2} )^{2}=(\frac{-2}{2})^{2} =(-1)^{2}=1[/tex]
y = (x² – 2x + 1) + 6 – 1
y = (x – 1)² + 5
B. Transform the following quadratic function into the form y = ax² + bx + c.
3. y = (x – 2)² – 2
y = (x – 2)(x – 2) – 2
y = (x² – 4x + 4) – 2
y = x² – 4x + 2
4. y = –2 (x – 3)² + 1
y = –2 (x – 3)(x – 3) + 1
y = –2 (x² – 6x + 9) + 1
y = (–2x² + 12x – 18) + 1
y = –2x² + 12x – 17
5. y = 3 (x + 4)² – 3
y = 3 (x + 4)(x + 4) – 3
y = 3 (x² + 8x + 16) – 3
y = (3x² + 24x + 48) – 3
y = 3x² + 24x + 45
