Question

Write the quadratic function in vertex form. y = x2 - 16x + 66

Answer 1

Answer:

$y=(x-8)^{2}+2$

Step-by-step explanation:

When calculating the quadratic function in vertex form, you just have to create a quadratic binomial with the values in the function, and then you add or withdraw from the equation what you need to complete the quadratic binomial.

$y = x^{2} - 16x + 66$

So you now know that to create a quadratic binomial, you have to divide the B by 2, and then square it, remember that "B" is the numeric value on the second term of the equation, in this case is -16, so divided by 2 it would be -8 and squared it would be 64.

$y = x^{2} - 16x + 66\\y=x^{2} - 16x + 64 +2\\y=(x-8)^{2}+2$

So now you know that the quadratic function in vertex form is:

$y=(x-8)^{2}+2$

Answer 2

Hello : 
y = x2 - 16x + 66
y=(x²-16x+64)-64+66
y = (x-8)²+2  .....(vertex form)