Question

Quadratics and Square Roots Attributes:Question 2

What is the maximum value of the function y = -x² + 4x - 1
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Select one:
O 2
O 9
O 3
O 5

Answer 1

The maximum value of the function is 3.

Step-by-step explanation:

To find the maximum value of the quadratic function y = -x² + 4x - 1, we need to determine the vertex of the parabola represented by the function. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a is the coefficient of x² and b is the coefficient of x.

In this case, a = -1 and b = 4, so x = -4/(2*(-1)) = 2. Plugging this value of x into the function, we get y = -2² + 4*2 - 1 = -4 + 8 - 1 = 3.

Therefore, the maximum value of the function y = -x² + 4x - 1 is 3.

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