SOLUTION: 3. Given the function f(x)=-x²-6x-2 (A)Determine the vertex; (B)List the axis of symmetry; (C)Calculate the y-intercept; (D)Use the axis of symmetry and the y-intercept to

Algebra ->  Rational-functions -> SOLUTION: 3. Given the function f(x)=-x²-6x-2 (A)Determine the vertex; (B)List the axis of symmetry; (C)Calculate the y-intercept; (D)Use the axis of symmetry and the y-intercept to       Log On


   



Question 466381: 3. Given the function f(x)=-x²-6x-2
(A)Determine the vertex;
(B)List the axis of symmetry;
(C)Calculate the y-intercept;
(D)Use the axis of symmetry and the y-intercept to find an additional point on the graph;
(E)Graph the function
Please show all of your work. Submit your graph.

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
First we write the equation of the parabola in standard form.
f(x)=-(x^2+6x+2)=-(x^2+6x+9-9+2)=-(x+3)^2+7
The vertex of the parabola is (-3, 7).
The axis of symmetry is the line x=-3.
The y-intercept is (0, -2).
An additional point on the graph will be:(-6, -2).
graph%28400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+-x%5E2-6x-2%29