How do you understand Maximum and minimum. It says " if the parabola opens up/down..." what is the parabola and how does that determine max or min?
Stacey Warren - Expert brainly.com
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Which math class are you taking at the momen?
For a parabola, If opening in the Y direction up/down, will have a max/min value at the vertex.
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If it opens up for example, the min value will be the vertex, and the max will be infinity.
If it opens down the other way, the vertex would be the Maximum, and the minimum would be negative infinity.
Do you have a specific example?
okay the problem I just did was a vertex (6,-2) which is maximum,-2. I completely guessed on it but its right. what I don't understand how to determine if its max or min based on the information given. My complete function was f(x)=-x^2+12-38, vertex (6,-2), axis of symmetry is x= 6 and -2 is the max.
Can you please post the original one by scanning or screenshot?
I guess I don't understand how to determine if it goes up or don't and how that relates to max or min.
First off, they give you a "function below". That is \(f(x) = -x^2 +12x-38\). Just look at the coefficient of x^2 which is -1 and the highest degree of x
1) highest degree is 2 --> it is a parabola
2) coefficient of x^2 is -1 --> negative number means the parabola is downward.
And, if it is downward, it has maximum , no minimum
if it is upward ( the coefficient of x^2 is positive ), it has minimum, no maximum.