Question

identify the vertex, axis of symmetry, and direction of the graph of each function. compare the width of the graph to the width of the graph of ( f(x)=x^{2} )
( g(x) = -0.2(x - 6)^{2}+6 )
the vertex is
(type an ordered pair )

Explanation:

Step1: Recall vertex form of parabola

The vertex form of a parabola is \( g(x)=a(x - h)^2 + k \), where \((h,k)\) is the vertex.

Step2: Identify h and k from given function

For the function \( g(x)=- 0.2(x - 6)^2+6 \), comparing with \( a(x - h)^2 + k \), we have \( h = 6 \) and \( k=6 \).

Answer:

\((6,6)\)