Name:__________________________________ Section:________
Score:____
CONVERTING QUADRATIC FUNCTIONS
STANDARD โน VERTEX FORM
y
=
ax
2+
bx
+
c โน y
=
a
(
x
โ
h
)
2+
k
y
=
x
2โ6
x
+14
y
=
x
2โ6
x
+3
1. Identify a, b, and c.
a
=1
; b
=โ6
; c
=14
2. Calculate the axis of symmetry
using
x
=โ
b
2
a
x
=โ(โ6)
2(1)=6
2=3
x
=
h โ h
=3
3. pFind the y-coordinate of the vertex
by substituting the x-coordinate into
function.
y
=
x
2โ6
x
+14
y
=(3)2โ6(3)+14
y
=9โ18+14
y
=โ9+14
y
=5
y
=
k โ k
=5
4. Substitute the values of a, k and h
into vertex form.
a
=1
; h
=3
; k
=5
y
=1
(
x
โ3
)
2+5
y
=
(
x
โ3
)
2+5
Name:__________________________________ Section:________
Score:____
CONVERTING QUADRATIC FUNCTIONS
STANDARD โน VERTEX FORM
y
=
ax
2+
bx
+
c โน y
=
a
(
x
โ
h
)
2+
k
y
=
x
2โ6
x
+14
y
=
x
2โ6
x
+3
1. Identify a, b, and c.
a
=1
; b
=โ6
; c
=14
2. Calculate the axis of symmetry
using
x
=โ
b
2
a
x
=โ(โ6)
2(1)=6
2=3
x
=
h โ h
=3
3. Find the y-coordinate of the vertex
by substituting the x-coordinate into
function.
y
=(3)2โ6(3)+14
y
=9โ18+14
y
=โ9+14
y
=5
y
=
k โ k
=5
4. Substitute the values of a, k and h
into vertex form.
a
=1
; h
=3
; k
=5
