Find the vertex of the parabola by applying the vertex formula.f (x) = - 1515x2 - 6x - 7Select one:a. (35,−25625)(35,−25625)b. (-15, 38)c. (15, -52)d. −(35,−7625)
Question
Find the vertex of the parabola by applying the vertex formula.f (x) = - 1515x2 - 6x - 7Select one:a. (35,−25625)(35,−25625)b. (-15, 38)c. (15, -52)d. −(35,−7625)
Solution
The vertex of a parabola given by the equation f(x) = ax^2 + bx + c is given by the formula (-b/2a, f(-b/2a)).
Here, a = -1515, b = -6, and c = -7.
First, calculate the x-coordinate of the vertex using -b/2a: x = -(-6) / 2*(-1515) = 6 / -3030 = -0.00198 (approximately).
Then, substitute x = -0.00198 into the equation to find the y-coordinate of the vertex: f(-0.00198) = -1515*(-0.00198)^2 - 6*(-0.00198) - 7 = -7.00588 (approximately).
So, the vertex of the parabola is approximately (-0.00198, -7.00588).
None of the given options match this result. There might be a mistake in the question or the provided options.
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