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Lauren is on a hiking trail that goes north to south. If Lauren hikes xx miles north, her elevation, in feet, can be found using the function f(x)=(x+3)^2+150.f(x)=(x+3) 2 +150. Negative xx values would find the elevation if Lauren hiked south. Find and interpret the given function values and determine an appropriate domain for the function.

Respuesta :

The elevation function is a quadratic function that has a graph with the

shape of a parabola.

The characteristics given by the function are;

  • The minimum elevation is 150 feet when she is at 3 miles south.
  • The elevation increases as she moves north or south
  • The domain of the function is; (-∞, ∞)

Reasons:

The given function is presented as follows;

f(x) = (x + 3)² + 150

The leading coefficient of the above function is positive, therefore, given that the function is a quadratic function, we have;

The function is concave upwards.

The function is given in vertex form, therefore;

The vertex of the function is at (-3, 150)

Which gives;

The minimum value of the elevation is 150 feet

The location of minimum elevation is 3 miles south

The domain of the function is; -∞ < x < ∞ which is (-∞, ∞)

Learn more about quadratic functions here:

https://brainly.com/question/3141721

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