7. Rewrite in Vertex Form by Completing the Square (answers).notebook December 10, 2014
Converting from Standard form to Vertex Form
y = ax2 + bx +c y = a(x ­ h)2 + k
1. a) Rewrite y = ­3x2 + 24x ­ 28 in y = a(x ­ h)2 + k form.
Group the first two terms.
I.
II. Common Factor the coefficient of
the first term.
III. "Complete the Square" on the
terms inside the brackets. I.e. Add
and subtract
in the brackets.
IV. Remove the 4th term from the
brackets. You must multiply by the
Coeffiecient infront of the bracket
first.
V. Factor the perfect square in the
bracket. You should have an equation
2
in the form y = a(x ­ h) + k .
b) State:
Vertex ________
Direction of Opening _____
Axis of Symmetry _____
c)
Find the x ­ intercepts.
d)
Graph using the vertex, x­intercepts, and value of "a".
Dec 19­2:06 PM
1
7. Rewrite in Vertex Form by Completing the Square (answers).notebook December 10, 2014
2. a) Rewrite y = 0.1x2 + 2x + 1 in y = a(x ­ h)2 + k form.
b) State:
Vertex ________
Direction of Opening _____
Axis of Symmetry _____
c)
Find the x ­ intercepts.
d)
Graph using the vertex, x­intercepts, and value of "a".
Dec 19­2:06 PM
2
7. Rewrite in Vertex Form by Completing the Square (answers).notebook December 10, 2014
3. a) Rewrite y = x2 + 6x + 2 in y = a(x ­ h)2 + k form.
b) State:
Vertex ________
Direction of Opening _____
Axis of Symmetry _____
c)
Find the x ­ intercepts.
d)
Graph using the vertex, x­intercepts, and value of "a".
Dec 19­2:06 PM
3