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The curve produced by the water coming from a fountain is sketched on the graph.

Which function does the graph represent?

A) f(x) = (x-2)^2 + 3

B) f(x) = -(x-2)^2 + 3

C) f(x) = (x+2)^2 + 3

D) f(x) = -(x+2)^2 + 3

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The curve produced by the water coming from a fountain is sketched on the graphWhich function does the graph representA fx x22 3B fx x22 3C fx x22 3D fx x22 3 class=

Respuesta :

yungsherman
Answer: B. -(x-2)^2 + 3

The vertex of the parabola is (2,3) so we can plug in those values into the equation for vertex form. And the parabola is facing down, so we know the function is multiplied by -1.

Therefore the equation is -(x-2)^2 + 3

Look at the attached image to see what vertex form is
Ver imagen yungsherman
anuksha0456

The function that the given graph represents is

f(x) = -(x - 2)² + 3.

So, option B is the right choice.

What is a parabola?

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

What is the vertex form of a parabola?

The parabola with a vertex at point (h, k), and the y-intercept = a can be written as an equation:

y = a(x - h)² + k.

How do we solve the given question?

We, looking at the graph can say that the vertex of a parabola is at (2, 3) and the y-intercept is at -1. We are asked to find its equation.

We simply put h = 2, k = 3, and a = -1 in the equation of a parabola in the vertex form. So, our equation will be:

y = (-1)(x - 2)² + 3

or, y = -(x - 2)² + 3.

Replacing y = f(x) in the above equation, we get our function:

f(x) = -(x - 2)² + 3.

Hence, the function that the given graph represents is

f(x) = -(x - 2)² + 3.

So, option B is the right choice.

Learn more about equations of the parabola at

brainly.com/question/4061870

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