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

Answer:

h = 3, k = −12

Step-by-step 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:

$3(x^2 -6x +(\frac{6}{2})^2) +15 - 3(\frac{6}{2})^2$

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

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

So then the best option is:

h = 3, k = −12

Answer 2

Answer:

h = 3, k = −12

Step-by-step explanation: