Use the quadratic function fx x2 4x 6 to address the fol

Use the quadratic function f(x) = - x^2 + 4x - 6 to address the following questions. Use the vertex formula to determine the vertex. The vertex is (Type an ordered pair. Simplify your answer.) Does the graph \"open up\" or \"open down ? Down up What is the equation of the axis of symmetry. (Simplify your answer.)

Solution

f(x) = -x^2+ 4x -6

Comparing with standard quadratic function: ax^2 +bx +c

if a > 0 upward facing parabola

if a<0 downward faxing parabola

So, a = -1 , parabola is Down ward facing

Vertex formula : x = -b/2a = -4/(2*-1) = 2

y =-(2)^2 + 2*4 -6 = -4 +8 -6 = -2

Vertex( 2 , -2)