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?
Responses
\large y=x^2+2x-24
Image with alt text: \large y=x^2+2x-24
\large y=\left(x-4\right)\left(x+6\right)
Image with alt text: \large y=\left(x-4\right)\left(x+6\right)
\large y=\left(x+1\right)^2-25
Image with alt text: \large y=\left(x+1\right)^2-25
The form of the function that would be MOST helpful to determine the coordinates of the minimum value is:
y=\left(x+1\right)^2-25
This is because it is in vertex form, which gives the coordinates of the vertex of the parabola (h,k). In this case, the vertex is at (-1,-25), which is the minimum point of the function.