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which function is equivalent to y = x2 - 6x + 10?
a y = (x + 3)2 - 1
b y = (x - 3)2 + 1
c y = (x + 6)2 - 10
d y = (x - 6)2 + 10

B)  

Step-by-step explanation:

Given function:

We need to find the equivalent function.

By looking at the choices, we know that we have to convert the given function into its vertex form.

We apply completing square method to do so.

We have

First of all we make sure that the leading co-efficient is =1.

Since its already 1, so we move ahead to next term.

Isolating and terms on one side.

Subtracting both sides by 10.

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of term, square it and add it both sides side.

square of half of the co-efficient of term =

Adding 9 to both sides.

Since is a perfect square of  , so, we can write as:

Adding 1 to both sides:

  [Vertex form]

∴ Equivalent function  

answer: can and shows the work

step-by-step explanation:

4.08%

step-by-step explanation: