What is the vertex form of $y = x^{2} + 3 x - 25$ $y= x^2+3x-25$ ?

Question

What is the vertex form of $y = x^{2} + 3 x - 25$ $y= x^2+3x-25$ ?

1 Answer

Impact of this question

1276 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-24T10:10:57

$4 y = {(2 x + 3)}^{2} - 109$ $4y = (2x + 3)^2 -109$

Explanation:

The vertex form is $y = n {(x - h)}^{2} + k$ $y=n(x-h)^2 + k$ where $(h, k)$ $(h,k)$ is the vertex.
It is found by completing the square.
$y = {(x + \frac{3}{2})}^{2} - \frac{9}{4} - 25$ $y = (x +3/2)^2 - 9/4 -25$
$y = {(x + \frac{3}{2})}^{2} - \frac{109}{4}$ $y = (x + 3/2)^2 -109/4$
this can also be expressed as
$4 y = {(2 x + 3)}^{2} - 109$ $4y = (2x + 3)^2 -109$

Science

Math

Humanities

... and beyond

What is the vertex form of $y = x^{2} + 3 x - 25$ $y= x^2+3x-25$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is the vertex form of y= x^2+3x-25 y=x2+3x−25y= x^2+3x-25 ?

1 Answer

Explanation:

Related questions

Impact of this question

What is the vertex form of $y = x^{2} + 3 x - 25$ $y= x^2+3x-25$ ?