Y= x^2 + 2x + 7 in vertex form
2 answers:
Answer:
y = (x + 1)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier.
To obtain this form use the method of completing the square
Given
y = x² + 2x + 7
add/subtract ( half the coefficient of the x- term )² to x² + 2x
y = x² + 2(1)x + 1 - 1 + 7
= (x + 1)² + 6 ← in vertex form
Answer:
(
1, 6
)
Step-by-step explanation:
y
=
(x
−
1
)
2
+
6
Use the vertex form, y
=
a
(
x
−
h
)
2
+
k
, to determine the values of a
, h
, and k
. a
=
1
h
=
1
k
=
6
Find the vertex (
h
, k
)
. (
1
, 6)
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