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Use the ALEKS graphing calculator to find the vertex and x-intercept( " l "_ ) for the quadratic function. f(x)=-3x^(2)-11 x-5 Round to the nearest hundredth if necessary. If there is more than one x-intercept, separate them with commas. If applicable, click on "None".

Use the ALEKS graphing calculator to find the vertex and x x -intercept(  l ‾ \underline{\text { l }} ) for the quadratic function.\newlinef(x)=−3x2−11x−5 f(x)=-3 x^{2}-11 x-5 \newlineRound to the nearest hundredth if necessary.\newlineIf there is more than one x x -intercept, separate them with commas.\newlineIf applicable, click on

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Q. Use the ALEKS graphing calculator to find the vertex and x x -intercept(  l ‾ \underline{\text { l }} ) for the quadratic function.\newlinef(x)=−3x2−11x−5 f(x)=-3 x^{2}-11 x-5 \newlineRound to the nearest hundredth if necessary.\newlineIf there is more than one x x -intercept, separate them with commas.\newlineIf applicable, click on
  1. Identify Coefficients: Identify the coefficients of the quadratic equation.\newlineThe quadratic function is given by f(x)=−3x2−11x−5f(x) = -3x^2 - 11x - 5. Here, a=−3a = -3, b=−11b = -11, and c=−5c = -5.
  2. Calculate Vertex: Calculate the vertex of the parabola.\newlineThe vertex formula for a parabola is (x=−b2a,y=f(−b2a))(x = -\frac{b}{2a}, y = f(-\frac{b}{2a})).\newlinex-coordinate of vertex = −(−11)/(2∗(−3))=116≈1.83-(-11)/(2*(-3)) = \frac{11}{6} \approx 1.83\newliney-coordinate of vertex = −3(116)2−11(116)−5=−3(12136)−1216−5=−36336−1216−5=−60.58-3(\frac{11}{6})^2 - 11(\frac{11}{6}) - 5 = -3(\frac{121}{36}) - \frac{121}{6} - 5 = -\frac{363}{36} - \frac{121}{6} - 5 = -60.58\newlineVertex: (1.83,−60.58)(1.83, -60.58)
  3. Calculate X-Intercepts: Calculate the x-intercepts using the quadratic formula, x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.\newlineDiscriminant = (−11(-11^22 - 44\cdot(−3-3)\cdot(−5-5) = 121121 - 6060 = 6161\)\newlinex11 = −(−11)+612⋅(−3)=11+7.81−6=−3.14\frac{-(-11) + \sqrt{61}}{2\cdot(-3)} = \frac{11 + 7.81}{-6} = -3.14\newlinex22 = −(−11)−612⋅(−3)=11−7.81−6=−0.53\frac{-(-11) - \sqrt{61}}{2\cdot(-3)} = \frac{11 - 7.81}{-6} = -0.53\newlineX-intercepts: (−3.14,0(-3.14, 0, −0.53,0-0.53, 0)

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