Students were inquired to answer a question at academics and to say what is most important for them to succeed. Of many results, one that that stood out was practice. Persons who commonly successful do not become successful by being born. They work hard and dedication their lives to succeeding. If you tend to reach your goals, keep this in mind! right below some question and answer examples that you would possibly work with to develop your knowledge and gain insight that will guide you to sustain your school studies.

## Question:

Which of the following functions best describes this graph?

## Answer:

We want to see which one of the given** functions **describes the given **graph.**

The correct option is C:

**y = x^2 – 9x + 18**

We have a graph of a **quadratic equation**, the things we can see of the graph are:

- The arms of the
**graph**open upwards, so the**leading coefficient**is positive. - The
**y-intercept**seems to be larger than 10. - The
**verte**x has a positive x-value and a negative y-value.

From, the second one, we can discard option D, because its** y-intercept** is smaller than 10, and option A because it has a negative **y-intercept.**

Now remember that for a general** quadratic equation:**

y = a*x^2 + b*x + c

the x-value of the **vertex** is:

x = -b/2a

Now we can compute the x-value of the** vertexes** of the 2 remaining options.

B) y = x^2 + 9x + 18

Then the x-value of the **vertex **is:

x = -9/(2*1) = -4.5

But in the graph we can see that the x-value of the **vertex **is positive, so we can discard this option.

C) y = x^2 – 9x + 18

x = -(-9)/(2*1) = 4.5

In this case, we got a positive x-value for the **vertex**, as expected.

Because of this (and because we discarded the other 3 options) we can conclude that the **function **that best describes the **graph **is the one in option C.

If you want to learn more, you can read:

They may hopefully guide the student handle the question by implementing the questions and answer examples. Then could potentially carry out some sharing in a group discussion and also learning with the classmate in connection with the topic, so another student also take up some enlightenment and still keeps up the school learning.