Final answer:
To plot another point on the parabola of the function f(x)=4x^2+16x+15, one can simply pick a value for x and calculate the corresponding f(x) value, such as the point (1, 35).
Step-by-step explanation:
The given function f(x)=4x2+16x+15 is a quadratic equation representing a parabola. To plot another point on this parabola, we can choose a value for x and then solve for f(x) or y.the value of x can be selected randomly and substituted. For example, if we choose x = 1, substituting it into the equation gives us f(1) = 4(1)2 + 16(1) + 15 = 4 + 16 + 15 = 35. Therefore, the point (1, 35) lies on the parabola. This method can be used to plot as many points as needed to define the shape of the parabola.