2 years ago

Which function has a vertex at the origin?

Mathematics

1 answer:

dlinn [17]2 years ago

6 0

Answer:

(d) f(x) = -x²

Step-by-step explanation:

For the vertex of the quadratic function to be at the origin, both the x-term and the constant must be zero. That is, the function must be of the form ...

f(x) = a(x -h)² +k . . . . . . . . . . vertex form; vertex at (h, k)

f(x) = a(x -0)² +0 = ax² . . . . . vertex at the origin, (h, k) = (0, 0)

Of the offered answer choices, the only one with a vertex at the origin is ...

f(x) = -x² . . . . . a=-1

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Answer:

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Step-by-step explanation:

The equation of a quadratic function in vertex form is given by:

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Where (h,k) is the vertex.

It was given in the question that the vertex of the parabola is (-1,4).

When we substitute the vertex into the formula we get:

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