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

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,

⇒f(x) is not passing through origin.

4.

At x=0,

⇒f(x) passing through origin.

Vertex form of equation=

⇒ vertex=(0,0)

step-by-step explanation:

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