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The graph of y=(3)/(2)(x+2)^(2)-6 is shown in the xy-plane. Which of the following characteristics of the graph is displayed as a constant or

The graph of y=32(x+2)2−6 y=\frac{3}{2}(x+2)^{2}-6 is shown in the xy x y -plane. Which of the following characteristics of the graph is displayed as a constant or

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Find indefinite integrals using the substitutionright chevron icon

Full solution

Q. The graph of y=32(x+2)2−6 y=\frac{3}{2}(x+2)^{2}-6 is shown in the xy x y -plane. Which of the following characteristics of the graph is displayed as a constant or
  1. Analyze Function: Analyze the given function y=(32)(x+2)2−6y = \left(\frac{3}{2}\right)(x+2)^2 - 6 to identify key characteristics.
  2. Determine Vertex: Determine the vertex of the parabola using the values of hh and kk.
  3. Identify Parabola Direction: Identify the direction of the parabola opening by examining the coefficient aa.
  4. Check Constant Characteristics: Check for any constant characteristics such as axis of symmetry, vertex, or y-intercept.
  5. Calculate Y-Intercept: Calculate the y-intercept by setting x=0x = 0 in the equation.

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