QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
Find the equation of the axis of symmetry of the following parabola using graphing technology:
𝑦 = 𝑥2 + 6𝑥 + 17
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Answer
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Step 1:: Identify the coefficient of the x^2 term and the linear coefficient in the given quadratic equation.
The given quadratic equation is y = x^2 + 6x + 17. Here, the coefficient of the x^2 term is 1 and the linear coefficient is 6.
Step 2:: Use the formula for the axis of symmetry of a parabola.
The formula for the axis of symmetry of a parabola is x = -b / 2a, where a and b are the coefficients we identified in Step 1.
Step 3:: Plug in the values of a and b into the formula.
In this case, a = 1 and b = 6. Plugging these values into the formula, we get: x = - 6 / (2 * 1) x = - 6 / 2 x = - 3
Final Answer
The equation of the axis of symmetry of the given parabola is x = - 3.
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