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In Exercises 87- 90, determine whether the statement is true or false. Justify your answer.
The graph of a quadratic function with a negative leading coefficient will have a maximum value at its vertex.
True
Algebra
Chapter 2
Polynomial and Rational Functions
Section 1
Quadratic Functions and Models
Quadratic Functions
Complex Numbers
Polynomials
Rational Functions
Missouri State University
McMaster University
Harvey Mudd College
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if a contract IQ function has a negative leading coefficient. So meaning that the expression for the quadratic is of this form where a is less than zero. Then we know that means graphically, that the problem will open downward. And so that in this case, the Vertex well, give us the maximum Why value on the graph? So if the first sex is the point, H k, then just by looking at the picture, we see that K equals the maximum max value of the quadratic. So the answer here is Yes, this is a true statement, and that's our final answer.
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