Tracy wants to determine the coordinates of the minimum value of a quadratic function. She writes the equation for the function in different forms.
Which form of the function would be MOST helpful to determine the coordinates of the minimum value?
To determine the coordinates of the minimum value of a quadratic function, Tracy should use the vertex form of the function. The vertex form of a quadratic function is given by:
f(x) = a(x - h)^2 + k
Where (h, k) represents the coordinates of the vertex of the parabola. The vertex form allows us to directly identify the values of h and k, which correspond to the x-coordinate and y-coordinate of the vertex, respectively.
By comparing the given quadratic function with the vertex form, Tracy can easily determine the coordinates of the minimum value.
The vertex form of a quadratic function, also known as the standard form, would be the most helpful form for determining the coordinates of the minimum value.
The vertex form of a quadratic function is written as:
f(x) = a(x - h)^2 + k
Where (h, k) represents the coordinates of the vertex of the parabola. In this form, it is easy to identify the vertex at (h, k) without having to resort to calculations or graphical analysis.
By comparing the equation to the vertex form, Tracy can identify the values of h and k, which directly correspond to the x-coordinate and y-coordinate of the vertex. Therefore, Tracy can determine the coordinates of the minimum value by simply determining the values of h and k from the equation.