What is the vertex form of $y = 3 x^{2} + 7 x + 2$ $y=3x^2+ 7x + 2$ ?

Question

What is the vertex form of $y = 3 x^{2} + 7 x + 2$ $y=3x^2+ 7x + 2$ ?

1 Answer

Impact of this question

3780 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-11T03:48:18

$y = 3 (x + \frac{7}{6}) + \frac{25}{12}$ $y = 3(x + 7/6) + 25/12$

Explanation:

x-coordinate of vertex:
x = -b/(2a) = -7/6
y-coordinate of vertex:
$y (- \frac{7}{6}) = \frac{3 (49)}{36} + \frac{7 (- 7)}{6} + 2 = \frac{147}{36} - \frac{49}{6} + 2 =$ $y(-7/6) = (3(49))/36 + (7(-7))/6 + 2 = 147/36 - 49/6 + 2 =$
$= \frac{147}{36} - \frac{294}{36} + \frac{72}{36} = \frac{75}{36} = \frac{25}{12}$ $= 147/36 - 294/36 + 72/36 = 75/36 = 25/12$
Vertex form of y.
$y = 3 (x + \frac{7}{6}) + \frac{25}{12}$ $y = 3(x + 7/6) + 25/12$

Science

Math

Humanities

... and beyond

What is the vertex form of $y = 3 x^{2} + 7 x + 2$ $y=3x^2+ 7x + 2$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is the vertex form of y=3x2+7x+2y=3x^2+ 7x + 2?

1 Answer

Explanation:

Related questions

Impact of this question

What is the vertex form of $y = 3 x^{2} + 7 x + 2$ $y=3x^2+ 7x + 2$ ?