Point P is the center of the circle what is the value of X

Angle x is 34 degrees

Step-by-step explanation:

The smaller triangle shown in the diagram is isosceles because two of its sides are equal (these sides are also radii of the circle).  It has two 62 degree angles.  Thus, the third angle is 180 degrees less twice 62 degrees, or 56 degrees.

The larger triangle is a right triangle with angles 90, 56 and 34 degrees.  Thus, Angle x is 34 degrees.

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