Yes I’m dumb sorry but just help PLEASE

Case 1:    2 solutions

Case 2:    1 solution

Case 3:    none/imaginary solutions

Step-by-step explanation:

The discriminant comes from the square root section of the quadratic formula:

   (ignore the Â, it's a formatting error)

The quadratic formula is used to find the solutions for quadratic equations. Quadratic equations are in the format ax² + bx + c. To solve for "x", you would substitute "a", "b" and "c" into the formula.

Why the discriminant works:

When you have to square root a number, it has to be positive inside the root (or else you get imaginary numbers).

Example: (if the inside of the root is less than 0)

If b = 4, a = 5, c = 1 :

b² - 4ac

= 4² - 4(5)(1)

= 16 - 20

= -4

√-4 is imaginary. The quadratic equation has no solutions because you can't do the rest of the quadratic formula.

Example: (inside of the root is 0)

If b = 4, a = 4, c = 1 :

b² - 4ac

= 4² - 4(4)(1)

= 16 - 16

= 0

There will be one solution. In the quadratic formula, this affects where there is a ± sign. See the formula again.

   If the square root area equals 0:

             Adding and subtracting 0 give the same answer.

Therefore there is only one solution.

Example: (inside of the root is greater than 0)

If b = 4, a = 3, c = 1 :

b² - 4ac

= 4² - 4(3)(1)

= 16 - 12

= 4

There will be two solutions. Notice where the ± sign is again in the uadratic formula.

       Substitute the answer for b² - 4ac

          You can get two different answers between adding and subtracting 2.

55% are girls and 45% are boys : ) hope this

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