Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. 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

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.