Question

select form to find quadratic feature
question
a quadratic function f(x) is hidden from view. you must find the maximum value of the function f(x). choose the form of the quadratic function f(x) that you would like to see in order to answer the question most efficiently.
form: vertex form
f(x) = -3(x - 4)^2 + 3
answer attempt 1 out of 2
submit answer

Explanation:

Step1: Identify vertex form structure

The vertex form of a quadratic function is $f(x)=a(x-h)^2+k$, where $(h,k)$ is the vertex.

Step2: Analyze coefficient $a$

For $f(x)=-3(x-4)^2+3$, $a=-3<0$, so the parabola opens downward, meaning the vertex is the maximum point.

Step3: Extract maximum value

The $k$-value of the vertex $(4,3)$ is the maximum value.

Answer:

The maximum value of $f(x)$ is $3$, and the most efficient form to use is Vertex Form.