What is the function y=2(x-4)^2-2 written in standard form

Y
=
2
x
2
+
16
x
+
11
Explanation:
Standard quadratic form is
y
=
a
x
2
+
b
x
+
c
.
y
=
2
(
x
+
4
)
2
−
21
First, simplify the expression in the parenthesis with exponent:
y
=
2
(
x
+
4
)
(
x
+
4
)
−
21
y
=
2
(
x
2
+
8
x
+
16
)
−
21
y
=
2
x
2
+
16
x
+
32
−
21
y
=
2
x
2
+
16
x
+
11
As you can see, this is now in the form
y
=
a
x
2
+
b
x
+
c
.
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