Use the function below to answer the question. f(x) = -5x 2 -17+20x Find the ver

Question

Use the function below to answer the question. f(x) = -5x2-17+20x Find the vertex and axis of symetry. Here's my question to you. How can i put the above equationinto vertex form? I have tried but have not been able to solvethis? Help please, thanks a lot! Use the function below to answer the question. f(x) = -5x2-17+20x Find the vertex and axis of symetry. Here's my question to you. How can i put the above equationinto vertex form? I have tried but have not been able to solvethis? Help please, thanks a lot!

Explanation / Answer

f(x) = -5x^2 + 20x - 17     to complete the square, we must first get a one in front of thesquare term        = - 5 ( x^2 -4x      )   -17        = - 5 ( x^2 -2(2)x + 2^2 - 4 ) -17        =   -5 ( x^2 -4x + 4 ) +20 -17        =   -5 ( x - 2)^2 +3             the axis of symmetry is   x = 2   and thevertex is    (2,3). The parabola                                                       opens down, hence there is a maximum value of 3 when x= 2 hope this helps

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