Question

Let f(x) = -x squared + 3x + 10.

The above function is written in the:
a) Vertex form
b) standard form
c) intercept form
d) linear form

Answer 1

The function f(x) = -x^2 + 3x + 10 is in the standard form of a quadratic equation, not vertex, intercept, or linear form.

Step-by-step explanation:

The function given, f(x) = -x^2 + 3x + 10, is represented in standard form of a quadratic equation. The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants. In this case, a = -1, b = 3, and c = 10. The equation f(x) is not in vertex form, which would be in the format of a(x - h)^2 + k where (h, k) is the vertex of the parabola, nor in the intercept form, which would be a(x - p)(x - q) where p and q are the x-intercepts of the parabola. Moreover, it is not in the linear form since it contains a squared term, which is characteristic of a quadratic equation.