### In the *xy*-plane, the graph of the equation above assumes its maximum value at . What is the value of *b*?

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### We have a quadratic equation (X to the 2nd). The X coordinate of the vertex (where the quadratic equation obtained its max or min value) is determined by X=(-b)/(2a) where b is the number coefficient of the X and a is the number coefficient of the X^2

### b=? a=(-2) and we know X=2

### plugging in we have: 2=(-b)/[2*(-2)]

### or 2=(-b)/(-4)

### -8=-b

### or b=8

### You can also use your TI calculator to plug numbers in and find, using the min/max functions which value satisfies the conditions – but this is much more difficult.

36% out of 145,000 got it right.

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