What is the minimum value of the function g(x) = x^2 - 6x - 12?

9514 1404 393

  -21

Step-by-step explanation:

I find it convenient to read the value from the graph created by a graphing calculator. The minimum is -21.

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The function can be rearranged to vertex form, which also shows the minimum value.

  g(x) = (x^2 -6x +9) -12 -9*

  g(x) = (x -3)^2 -21 . . . . . . . . vertex form

The vertex is (3, -21), so the minimum is -21.

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* we added the square of half the x-coefficient inside parentheses, and its opposite outside parentheses. This makes the expression inside parentheses a perfect square trinomial.

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer