Question

On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (negative 1, 0), and goes through (1, negative 4).
The graph of the function f(x) = –(x + 1)2 is shown. Use the drop-down menus to describe the key aspects of the function.

The vertex is the
.

The function is positive
.

The function is decreasing
.

The domain of the function is
.

The range of the function is
.

Answer 1

The key aspects of the function are

• The vertex is the (-1, 0)
• The function is decreasing from x = -1 to infinity
• The domain of the function is all sets of real number
• The range of the function is the set of all real numbers less than or equal to 0

How to determine the key features?

The function is given as:

f(x) = -(x + 1)^2

From the question, we have:

Vertex = (-1, 0)

Because the function has a negative leading term i.e. the negative sign at the beginning of -(x + 1)^2.

It means that the function is always negative.

Also, the domain of the function is all sets of real number, because it is an exponential function.

The y value of the vertex is 0 and the function is always negative. So, the range is all set of all real numbers less than or equal to 0

The x value of the vertex is -1 and the function is always negative. So, the function is decreasing from x = -1 to infinity

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