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lilyclairehutson
17.07.2021 •
Mathematics
For the quadratic, y = 3x2 + 4x - 3, the y-intercept is
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Ответ:
Step-by-step explanation:
To complete the square of
−
3
x
2
+
4
x
−
3
:
Take out the
−
3
y
=
−
3
(
x
2
−
4
3
x
)
−
3
Within the brackets, divide the second term by 2 and write it like this without getting rid of the second term:
y
=
−
3
(
x
2
−
4
3
x
+
(
2
3
)
2
−
(
2
3
)
2
)
−
3
These terms cancel each other out so adding them to the equation isn't a problem.
Then within the brackets take the first term, the third term, and the sign preceding the second term, and arrange it like this:
y
=
−
3
(
(
x
−
2
3
)
2
−
(
2
3
)
2
)
−
3
Then simplify:
y
=
−
3
(
(
x
−
2
3
)
2
−
4
9
)
−
3
y
=
−
3
(
x
−
2
3
)
2
+
4
3
−
3
y
=
−
3
(
x
−
2
3
)
2
−
5
3
You can conclude from this that the vertex is
(
2
3
,
−
5
3
)
Ответ:
Step-by-step explanation:
Ответ:
20% is the answer.