214,427 views
2 votes
2 votes
Please answer asap





Please
Please

Please answer asap Please Please-example-1
User Shee
by
3.0k points

1 Answer

25 votes
25 votes

Explanation:

Standard form:

  • y = ax² + bx + c

Vertex form:

  • y = (x - h)² + k

Identity used:

  • (a ± b)² = a² ± 2ab + b²

6 - 7)

Standard to vertex form conversion by completing the square

y = x² - 3x + 16

= x² - 2*1*3/2 + (3/2)² - (3/2)² + 16

= (x - 3/2)² - 9/4 + 16 =

= (x - 1.5)² + 13.75

8 - 9)

Same as above

y = x² - 2x + 3

= x² - 2*1*x + 1² - 1² + 3

= (x - 1)² + 2

10 - 12)

Vertex to standard for conversion by opening parenthesis and simplification

y = (x - 11)² + 15

= x² - 22x + 121 + 15

= x² - 22x + 136

13-15)

Same as above

y = (x - 4)² + 11

= x² - 8x + 16 + 11

= x² = 8x + 27

User Derek Fung
by
2.6k points