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The graph shows the axis of symmetry for a quadratic function f(x). On a coordinate plane, a vertical dashed line at (4, 0) is parallel to the y-axis. Which could be the function? f(x) = (x + 4)2 f(x) = x2 + 4 f(x) = (x – 4)2 f(x) = x2 – 4

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Answer:

its C

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facundo3141592

The function that can be represented by the graph is:

f(x) = (x - 4)^2

Which is the correct equation?

For a parabola, written in vertex form:

y = a*(x - h)^2 + k

Where the vertex is (h, k), the axis of symmetry is defined as the line x = h.

In this case, we know that the axis of symmetry passes through the point (4, 0), so we must have that the axis of symmetry is x = 4.

From this, we conclude that the quadratic function must be something like:

y = a*(x - 4)^2 + k.

By looking at the options, the only one with this form is the third option:

f(x) = (x - 4)^2, so this is the correct option.

If you want to learn more about parabolas, you can read:

https://brainly.com/question/1480401

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