pa sagot ngayun na po
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The standard form of a quadratic function presents the function in the form
f
(
x
)
=
a
(
x
−
h
)
2
+
k
where
(
h
,
k
)
is the vertex. Because the vertex appears in the standard form of the quadratic function, this form is also known as the vertex form of a quadratic function.
The standard form is useful for determining how the graph is transformed from the graph of
y
=
x
2
. The figure below is the graph of this basic function.
Graph of y=x^2.
Shift Up and Down by Changing the Value of
k
You can represent a vertical (up, down) shift of the graph of
f
(
x
)
=
x
2
by adding or subtracting a constant,
k
.
f
(
x
)
=
x
2
+
k
If
k
>
0
, the graph shifts upward, whereas if
k
<
0
, the graph shifts downward.
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