Question

Given the equation 3x2 − 18x + 15 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)2 + k = 0?

h = 3, k = −12
h = 3, k = 3
h = −3, k = 27
h = −3, k = −27

Answer 1

h = 3, k = −12

Explanation:

Answer 2

h = 3, k = −12

Explanation:

We have the following expression:

`3x^2 -18x +15=0`

For this case we can take a common factor for example 3 and we got this:

`3(x^2 -6x +5)`

Then we can complete the square like this:

`3(x^2 -6x +((6)/(2))^2) +15 - 3((6)/(2))^2`

`3(x-3)^2 +15 -27= 3(x-3)^2 -12`

So then if we compare we got
`a=3, h=3, k =-12`

So then the best option is:

h = 3, k = −12