Reeves Haynes
01/03/2024 · Primary School
Consider the parabola given by the equation: \( f(x)=2 x^{2}+14 x+9 \) Find the following for this parabola: A) The vertex: B) The vertical intercept is the point C) Find the coordinates of the two \( x \)-intercepts of the parabola and write them as a list, separated by commas:
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A) Vertex: \(\left(-\frac{7}{2}, -\frac{31}{2}\right)\)
B) Vertical intercept: \((0, 9)\)
C) \( x \)-intercepts: \(\left(\frac{-7 + \sqrt{31}}{2}, \frac{-7 - \sqrt{31}}{2}\right)\)
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