Question

a quadratic function $f(x)$ is hidden from view. you must find all intervals where $f(x)$ is decreasing. choose the form of the quadratic function $f(x)$ that you would like to see in order to answer the question most efficiently. form: select a form answer attempt 1 out of 2 submit answer all real numbers

Explanation:

Step1: Recall the properties of quadratic functions

A quadratic function is of the form \(y = ax^{2}+bx + c\) (standard form) or \(y=a(x - h)^{2}+k\) (vertex form). For determining where a quadratic function is decreasing, the vertex form \(y=a(x - h)^{2}+k\) is more efficient.
In the vertex form, the vertex of the parabola is at the point \((h,k)\). If \(a>0\), the parabola opens upwards and the function is decreasing on the interval \((-\infty,h)\). If \(a < 0\), the parabola opens downwards and the function is decreasing on the interval \((h,\infty)\).

Answer:

Vertex form \(y=a(x - h)^{2}+k\)