Right now, I am spending a lot of time listening to the voice of a particularly compelling character: the young Merlin. In the end, I finally heard the voice of Merlin thanks to a surprising source: the haunting, mysterious hooting of a great horned owl outside the window of my Colorado home. As I listened to that owl's resonant [echoing] call in the pre-dawn hours one morning, something about it gave me a whole new cadence [rhythm], a whole new sound. And then, a whole new voice. In this paragraph, what is the author's explicit message about his inspiration for Merlin's voice?

He had difficulty finding Merlin's voice.
His inspiration was the owl outside his window.
His old ideas were not working for Merlin's voice.
He spent a lot of time thinking about Merlin's voice.

his inspiration was the owl outside his window.

Step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1