Question

Graph the given functio stem. Describe how t f(x)=-x² g(x)=-x²+4

Answer 1

A graph of the system of functions is shown on the coordinate plane in the image attached below.

In Mathematics and Euclidean Geometry, the standard form of a quadratic function is represented by the following equation;

`y = ax^2 + bx + c`

Where:

• x and y represents the data points on the graph.
• a represents the leading coefficient.

Since the leading coefficient (value of a) in the given quadratic functions
`f(x)=-x^2` and
`g(x)=-x^2+4` are negative 1, we can logically deduce that the parabola would open downward and the x-intercept (roots) represent the roots or zeros.

In conclusion, the vertex is given by the ordered pair (0, 0) for f(x) and (0, 4) for g(x) as shown in the image attached below.

Complete Question:

Graph the given system of functions.

`f(x)=-x^2\\\\ g(x)=-x^2+4`