Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Which equation best represents the graph shown below? Explain in detail how you arrived at your answer by stating each of the mathematical transformations necessary and to produce the graph
Answer step by step

A. Y = (x - 2)^2 - 3

B. Y = (x + 2)^2 - 3

C. Y = - ( x - 2 )^2 - 3

D. Y = 1/2 ( x + 2)^2 - 3

Which Equation Best Represents The Graph Shown Below Explain In Detail How You Arrived At Your Answer By Stating Each Of The Mathematical Transformations Necess class=

Sagot :

facundo3141592

The quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

Which equation best represents the graph shown below?

The graph clearly is the graph of a quadratic equation, there we can see that:

The y-intercept is y = 1.

The vertex is (2, -3)

Remember that if we know that a quadratic equation has a vertex (h, k), then the equation can be written as:

y = a*(x - h)^2 + k

In this case, the vertex is (2, -3), replacing that we get:

y = a*(x - 2)^2 - 3

Now, we can find the value of a, the leading coefficient, by using the fact that the y-intercept is y = 1, evaluating in zero we should get:

1 = a*(0 - 2)^2 - 3

1 = a*4 - 3

1 + 3 = a*4

4/4 = a = 1

Then we conclude that the quadratic equation is:

y = (x - 2)^2 - 3

So the correct option is A.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.