The vertex form of a quadratic function is y=a(x-h)^2+k.
Vertex: (4,5)
Practice makes perfect
We want to identify the vertex of the given quadratic function.
Note that the formula is already expressed in vertex form, y=a(x-h)^2+k, where a, h, and k are either positive or negative numbers.
y=-3(x-4)^2+5
It is important to note that we do not need to graph the parabola to identify the desired information. Let's compare the general formula for the vertex form to our equation.
General Formula:y=& a(x- h)^2 + k
Equation:y=& -3(x- 4)^2+ 5
We can see that a= -3, h= 4, and k= 5.
The vertex of a quadratic function written in vertex form is the point ( h, k). Therefore, the vertex of the given equation is ( 4, 5).
