For questions 20-21, begin with the following equation: y = 8x^2 + 10x + 3 .
20) Find the axis of symmetry.
> -5/8
21) Identify the vertex as a maximum or minimum.
> minimum
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Please tell me if these answers are correct or not
To find the axis of symmetry, you can use the formula: x = -b / (2a), where a, b, and c are coefficients of the quadratic equation in the form of ax² + bx + c. In this case, a = 8 and b = 10. Plugging these values into the formula, we have:
x = -10 / (2 * 8)
Simplifying further, we get:
x = -5 / 8
Therefore, the answer to question 20 is correct. The axis of symmetry is -5/8.
To identify the vertex as a maximum or minimum, you can check the coefficient of the x² term (a). If a > 0, the parabola opens upwards and the vertex represents a minimum point. If a < 0, the parabola opens downwards and the vertex represents a maximum point. In this case, a = 8, which is greater than 0.
Therefore, the answer to question 21 is also correct. The vertex of the given equation represents a minimum point.