Which equation represents the Axis of symmetry for the graph of the quadratic function `f (x) =- (11)/(3) x ^(2) +17x- (43)/(13)` ?

Options

A. `x =- (102)/(11)`
B. `x =- (51)/(22)`
C. `x = (51)/(22)`
D. `x = (102)/(11)`

Answer

C

Explanation

An axis of symmetry splits a parabola in half and travels through the vertex. Use the formula to find h, plug in the correct values from the equation, and simplify:
`x =- (b )/(2a)`
`=-(17)/(2 ((-11)/(3)))`
`=-(17)/(((-22)/(3)))`
` =-17. (-3)/(22)`
`=(51)/(22)`
The correct answer is (C).