The graph of a quadratic function with vertex (-3,-2). Find the domain and range.

Answer 1

This question is asking you to infer the properties of a certain quadratic function. It looks like the graph is missing, so I will not be able to give you a specific answer for the range of the quadratic function.

The domain is all the x-values for which the function exists. Essentially, that means you can plug in an x-value and the function will has a corresponding y-value. For this function, if you plug in the number "-3" for x, you will calculate the y-value is "-2". That is the vertex and it means that -3 is in the domain of the function. Quadratic functions have a domain of all numbers, written as (-∞,∞). This is a property of quadratic functions. You can plug any x-value into any quadratic function and you will find a corresponding y-value.

The range is all the y-values for which the function exists. The range of a quadratic function is either from the minimum y-value to infinity, or from negative infinity to the maximum v-value. In your case it will be from [-2,∞) or (-∞,-2].

Please message me if you would like further explanation or have another question.

Answer 2

I assume you mean a quadratic polynomial, i.e. a parabola.

y=(x+3)² - 2

The domain is the whole real line; range is (-2,∞)