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

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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.

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