The vertex form allows us to identify, very easily, the vertex of the parabola and hence its name.
The vertex form of the quadratic function is:
The vertex form allows us to identify, very easily, the vertex of the parabola and hence its name.
The vertex form of the quadratic function is:
\( f(x)=(x-3)^2+x \)
Where the values of the vertex of the parabola are
- represents the value of the of the vertex.
- represents the value of the of the vertex.
For example in the function:
The vertex of the parabola is:
Observe
In the formula for the vertex form there is a minus sign before . This is how the template is constructed, it does not mean that is negative.
If we obtain a negative vertex we will place it with a minus sign in the vertex form template and the minus will turn into plus.
Find the standard representation of the following function
\( f(x)=(2x+1)^2-1 \)
Find the standard representation of the following function
\( f(x)=(-x+1)^2+3 \)
Find the standard representation of the following function
\( f(x)=(x+4)^2-16 \)