Consider the function represented by the graph. what is the domain of this function? {x| x > }

x | x ≥ 0 and x ≤ 8

Step-by-step explanation:

The domain of the function is defined as the possible x values that can be used in this function. Now, taking a look at the given graph, we would find that the line starts from x = 0 and continues taking x values till it reaches x = 0This means that for this function, we are allowed to use x values that are greater than or equal to zero and less than or equal to 8Therefore, the domain is any x value greater than or equal to zero and less than or equal to 8

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

the answer is c.

step-by-step explanation: