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1 vote
Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form?

y = 2 (x + seven-halves) squared minus one-fourth
y = 2 (x + seven-halves) squared minus one-half
y = 2(x + 7)2 – 73
y = (x + 7)2 – 24

User Gugge
by
3.0k points

2 Answers

18 votes
18 votes

Answer:

b

Explanation:

edge 2021

User DarVar
by
3.0k points
18 votes
18 votes

Answer:

y = 2 (x + seven-halves) squared minus one-fourth [y =
image ]

Explanation:

We know that,

vertex form is y = a(x-h)² + k

vertex is (h, k)

Now,

Given that the equation is -

y = (x+3)² + (x+4)²

= x² + 3² + 2×3×x + x² + 4² + 2×4×x

= x² + 9 + 6x + x² + 16 + 8x

= 2x² + 14x + 25

=
image

=
image

=
image

=
image

∴ we get

The vertex form is -

y =
image

So,

The correct option is - y = 2 (x + seven-halves) squared minus one-fourth (y =
image )

User Jettero
by
2.4k points