Does the parable
Is there a minimum or maximum point?
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Does the parable
Is there a minimum or maximum point?
The quadratic function is given by .
In the general quadratic form , the coefficient determines the parabola's orientation:
For this function, . Since , the parabola opens downwards.
Therefore, the function has a maximum point.
Thus, the correct answer is the function has a highest point.
Therefore, the solution to the problem is choice 2: Highest point.
Highest point
What is the value of the coefficient \( b \) in the equation below?
\( 3x^2+8x-5 \)
Think of it like a smile or frown! When , the parabola is a smile (opens up) with a minimum. When , it's a frown (opens down) with a maximum.
Size doesn't matter - only the sign! Whether or , both are negative, so both parabolas open downward and have maximum points.
No! You only need the coefficient . For , since , you know it has a maximum without calculating where.
A maximum point is the highest point on the parabola (like the top of a hill). A minimum point is the lowest point (like the bottom of a valley). The vertex is always one or the other!
Never! Each parabola has exactly one vertex that is either a maximum point or a minimum point, but not both. The sign of determines which one.
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