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Let’s check out your problem:
Re-write the quadratic function below in Standard Form
\newline
y
=
−
7
(
x
−
3
)
2
+
4
y=-7(x-3)^{2}+4
y
=
−
7
(
x
−
3
)
2
+
4
\newline
Answer:
y
=
y=
y
=
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Math Problems
Algebra 2
Quadratic equation with complex roots
Full solution
Q.
Re-write the quadratic function below in Standard Form
\newline
y
=
−
7
(
x
−
3
)
2
+
4
y=-7(x-3)^{2}+4
y
=
−
7
(
x
−
3
)
2
+
4
\newline
Answer:
y
=
y=
y
=
Multiply by
−
7
-7
−
7
:
Now we multiply each term inside the parentheses by
−
7
-7
−
7
.
\newline
y
=
−
7
(
x
2
)
−
7
(
−
6
x
)
−
7
(
9
)
+
4
y = -7(x^2) - 7(-6x) - 7(9) + 4
y
=
−
7
(
x
2
)
−
7
(
−
6
x
)
−
7
(
9
)
+
4
\newline
=
−
7
x
2
+
42
x
−
63
+
4
= -7x^2 + 42x - 63 + 4
=
−
7
x
2
+
42
x
−
63
+
4
Combine constant terms:
Finally, we combine the constant terms.
\newline
y
=
−
7
x
2
+
42
x
−
63
+
4
y = -7x^2 + 42x - 63 + 4
y
=
−
7
x
2
+
42
x
−
63
+
4
\newline
y
=
−
7
x
2
+
42
x
−
59
y = -7x^2 + 42x - 59
y
=
−
7
x
2
+
42
x
−
59
\newline
This is the quadratic function in Standard Form.
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i
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+
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where
a
a
a
and
b
b
b
are real numbers.
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23
i
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i
)
=
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)
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