Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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 to produce the graph.
please I need help


Sagot :

In the graph we have a parabola, and its equation is y = (x - 2)^2 - 3

How to find the equation of the graphed function?

In the graph, we can see a parabola.

We only need to identify 3 parts, which are the two x-intercepts (if it has) and the y-intercept.

Remember that if the vertex and the y-intercept. Remember that if the vertex is (h, k) and the leading coefficient is a, then we can write the equation as:

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

In the image we can see that the vertex is (2, -3), then:

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

And the y-intercept is y = 1, then if we evaluate in x = 0 we should get y = 1, replacing that we get:

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

1 = a*4 - 3

1 + 3 = a*4

4/4 = a = 1

Then the quadratic equation is y = (x - 2)^2 - 3

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1