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

y = 2 (x + 7) 2 - 73

y = (x + 7) 2 - 24

y=2 (x + (7/2)) ^2 - (1/4)

y=2 (x + (7/2)) ^2 + (1/2)

Question

Mathematics

Olive Blackburn

11 August, 07:44

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

y = 2 (x + 7) 2 - 73

y = (x + 7) 2 - 24

y=2 (x + (7/2)) ^2 - (1/4)

y=2 (x + (7/2)) ^2 + (1/2)

+1

Answers (1)

Know the Answer?

Joanna Singleton · Answer 1

y = (x + 3) 2 + (x + 4) 2 = x²+9+6x+x²+16+8x=2x²+14x+25

y = 2x²+14x+25

the vertex form of y=ax²+bx+c is y=a (x-h) ²+k

where h = - b/2a

and k = c-b²/4a

so the vertex form is y=2 (x - (-14/4)) ² + 25-196/8=2 (x+14/4) ²+4/8=2 (x+7/2) ²+1/2

the answer is y=2 (x + (7/2)) ^2 + (1/2)

Which equation is y = (x + 3) 2 + (x + 4) 2 rewritten in vertex form?y = 2 (x + 7) 2 - 73y = (x + 7) 2 - 24y=2 (x + (7/2)) ^2 - (1/4)y=2 (x + (7/2)) ^2 + (1/2)

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

y = 2 (x + 7) 2 - 73

y = (x + 7) 2 - 24

y=2 (x + (7/2)) ^2 - (1/4)

y=2 (x + (7/2)) ^2 + (1/2)