Which two are correct? Please help me out with this

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Explanation:

The domain is the set of all real numbers because we can replace x with any real number we want to get some y output. There isn't any restriction on x. We don't have to worry about dividing by zero for instance. This is why choice A is one of the answers.

The range is restricted however. The largest value we can make in the range is y = 0. The graph of y = -4x^2 shows a parabola that opens upside down. The highest point is at (0,0). So that's why choice D is the other answer.

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Extra info:

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

answ5

step-by-step explanation:

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