Graph the function.
f(x)=(−x−4)(x+2)
Use the Parabola tool by plotting the vertex first and then another point on the parabola.
To graph the function f(x) = (-x-4)(x+2), we can first find the vertex of the parabola by finding the x-coordinate of the vertex using the formula x = -b/2a for a quadratic function in the form ax^2 + bx + c.
In this case, the function is f(x) = (-1)x^2 + (-4+2)x - 8, so a = -1, b = -2, and c = -8.
The x-coordinate of the vertex can be found by x = -(-2)/(2*(-1)) = 1.
The y-coordinate of the vertex can be found by substituting x = 1 into the function: f(1) = (-1)(1+2) = -3.
Therefore, the vertex of the parabola is at (1, -3).
Now we can plot the vertex (1, -3) and another point on the parabola to graph the function.
Let's choose x = -3:
f(-3) = (-(-3)-4)(-3+2) = (3-4)(-1) = -1
Therefore, another point on the parabola is (-3, -1).
Plotting the vertex (1, -3) and (-3, -1), we can use the parabola tool to get the graph of the function f(x) = (-x-4)(x+2).