What type of parallelogram is created with the given points (0,3) (3,0)(0,-3)(-3,0) explain

Square

Step-by-step explanation:

Take a look at the attachment below. We need to apply the distance formula to derive the distance between points (0, 3), (3, 0), (0, - 3), (-3, 0). We can right away note that the sides of the quadrilateral created from these points are congruent. How so?

Again, taking a look at the attachment, you will see that this quadrilateral is named. Take side AB as an example. It forms a right triangle with the x and y - intercepts, the legs of lengths 3 and 3 units. AB is the hypotenuse. Respectively sides BC, CD, and AD each are the hypotenuse of their own mini triangle with legs of 3 units each! From this we can conclude that, by Pythagorean Theorem, AB = √18 = BC = CD = AD.

All sides are congruent, so the shape must be a square!

you can't solve x because it is 2 linear equation and you only have one equation

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