What is the vertex form of #y=(3x – 4) (2x – 1) #?
In vertex form, a is stretch factor, h is the x-coordinate of the vertex and k is the y-coordinate of the vertex.
So, we must find the vertex.
The zero product property says that, if
Apply the zero product property to find the roots of the equation.
Then, find the midpoint of the roots to find the x-value of the vertex. Where
We can input this value for x in the equation to solve for y.
Input these values respectively into a vertex-form equation.
Solve for the a value by inputting a known value along the parabola, for this example, we'll use a root.