Students were requested to answer a question at institution and to express what is most important for them to succeed. Of many comments, the one which that stood out was practice. Persons who are usually successful do not become successful by being born. They work hard and determination their lives to succeeding. If you want to get your goals, keep this in mind! followed below are one of the answer and question example that you could simply benefit from to practice and enriches your understanding and also give you insights that may assist you to maintain your study in school.

## Question:

Which function has a vertex at the origin? f(x) = (x + 4)2 f(x) = x(x – 4) f(x) = (x – 4)(x + 4) f(x) = –x2

## Answer:

**Answer: **

**Step-by-step explanation:**

In mathematics,the starting point on a grid is called an origin. It is the point (0,0), where the x-axis and y-axis intercept.

Thus to check which function passing through the origin, we need to check for x=0, y=f(x) must equals to 0.

1.

At x=0,

⇒f(x) is not passing through origin.

2.

At x=0,

⇒f(x) passing through origin.

But the vertex form of equation is

⇒ vertex of f(x)=(2,4)

3.

At x=0,

4.

At x=0,

Vertex form of equation=

⇒ vertex=(0,0)

From the answer and question examples above, hopefully, they might be able to help the student sort out the question they had been looking for and take note of every thing stated in the answer above. You would probably then have a discussion with your classmate and continue the school learning by studying the question altogether.