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Analyze the quadratic function below. Which of the following statements describe the quadratic function? Select all that apply.

1. The axis of symmetry is x= 3/2.
2. The reflection of the point marked on the parabola over the axis of symmetry is (-2,1).
3. The vertex of the parabola is a minimum point
4. The function has an extremo value at 1.5.

User Miquel
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1 Answer

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Final answer:

To analyze a quadratic function, the axis of symmetry, vertex, and extreme values are considered. Without more details, it's not possible to confirm specific properties like the axis of symmetry being x = 3/2 or the coordinates of reflected points.

Step-by-step explanation:

The student is asking to analyze a quadratic function, which is a function of the form y = ax^2 + bx + c. This type of function is known as a second-order polynomial or more commonly, a quadratic function. The characteristics of a parabola, such as its vertex, axis of symmetry, and extreme values, can be deduced from this formula.

To determine if the provided statements describe the quadratic function accurately, we need to know a specific equation or graphical information. Generally, the axis of symmetry of a parabola given by the equation y = ax^2 + bx + c is x = -b/(2a). The vertex of the parabola represents either a minimum or maximum point, depending on the coefficient 'a'. If 'a' is positive, the vertex is a minimum point; if 'a' is negative, it is a maximum point. The reflection of a point over the axis of symmetry will have the same 'y' value but an 'x' value that is equidistant from the axis on the opposite side. Without an actual graph or equation, it's not possible to confirm the exact reflection point provided. Lastly, the extremo value of a function is the y-coordinate of the vertex, and this can occur at any x-value.

User NSUserDefault
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