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Which is the domain and range of the parabola with the equation… Thanks

Which is the domain and range of the parabola with the equation… Thanks-example-1
User Dmcer
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Okay, here we have this:

Considering the provided equation of the parabola, we are going to find the requested domain and range, so we obtain the following:

Domain: Corresponds to all the values that x can take in the function. Given that in this case no value of x indeterminates the function, and that x can take any value, then its domain will be: (-∞, ∞).

Range: Corresponds to all the values that the dependent variable can take. In this case, since it is a parabola of the form ax^2+bx+c, and that a is less than or greater than 0, its range will be all values greater than or equal to its y-coordinate of the vertex, which for this case is (5, -15). So its range is: [-15, ∞).

Therefore finally we obtain that the correct answer is the fourth option.

User Sethpollack
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