Graph the function. $f ( x ) = - 2 ( x - 1 ) ^ { 2 } - 6$

Question

Quizplus · Accepted Answer

The vertex form of a quadratic function is given by:
$$f(x) = a(x-h)^2 + k$$
where (h,k) is the vertex of the parabola. 
Comparing with the given function:
$$f(x) = -2(x-1)^2 -6$$
we have (h,k) = (1,-6) 
Also, the coefficient a = -2, which is negative, indicates that the parabola opens downwards. 
Using this information, we can plot the graph by locating the vertex (1,-6) and a few more points on the parabola. 
The graph looks like:

![Graph of f(x)=-2(x-1)^2-6](https://i.imgur.com/ieW8gKj.png)

Graph the Function f(x)=−2(x−1)2−6f ( x ) = - 2 ( x - 1 ) ^ { 2 } - 6f(x)=−2(x−1)2−6

Graph the Function $f ( x ) = - 2 ( x - 1 ) ^ { 2 } - 6$