Which equation is y = 3 (x - 2) 2 - (x - 5) 2 rewritten in vertex form?

y=3 (x-7/2) ^2-27/4

y=2 (x-1) ^2-11

y=2 (x-1/2) ^2-53/4

y=2 (x-1/2) ^2-27/2

Question

Alessandro Stephens

Mathematics

7 September, 13:09

Which equation is y = 3 (x - 2) 2 - (x - 5) 2 rewritten in vertex form?

y=3 (x-7/2) ^2-27/4

y=2 (x-1) ^2-11

y=2 (x-1/2) ^2-53/4

y=2 (x-1/2) ^2-27/2

+1

Answers (1)

Know the Answer?

Naomi Hicks · Answer 1

Y = 3 (x - 2) ² - (x-5) ² = 3 (x² - 4 x + 4) - (x² - 10 x + 25) =

= 3 x² - 12 x + 12 - x² + 10 x - 25=

= 2 x² - 2 x - 13 =

= 2 (x² - x + 1/4 - 1/4) - 13 =

= 2 (x - 1/2) ² - 1/2 - 26/2 = 2 (x - 1/2) ² - 27/2

Answer: D)

Which equation is y = 3 (x - 2) 2 - (x - 5) 2 rewritten in vertex form?y=3 (x-7/2) ^2-27/4y=2 (x-1) ^2-11y=2 (x-1/2) ^2-53/4y=2 (x-1/2) ^2-27/2

Which equation is y = 3 (x - 2) 2 - (x - 5) 2 rewritten in vertex form?

y=3 (x-7/2) ^2-27/4

y=2 (x-1) ^2-11

y=2 (x-1/2) ^2-53/4

y=2 (x-1/2) ^2-27/2