Let G and H be functions with: G(x) = F(x - 1) + 3 and H(x) = -F(x + 2) - 4 where F(x) = x^2. For this part, consider the function G. a List the transformation you'd use to sketch the graph of G from the graph of F. b. White an equation for G(x) in the form G(x) = + a(x - h)^2 + k. This is called the standard form of a quadratic function. What are the values of a h, and k? c The vertex, or tuning point, of the graph of F(x) = x^2 is (0, 0). How can you use the transformations you listed in part (a) to determine the coordinates of the vertex of the graph of G? d. The vertical line that passes through the vertex of a parabola is called its axis of symmetry. The axis of symmetry of the graph of F(x) = x^2 is the y-axis, or the vertical line with equation x = 0. How can you determine the axis of symmetry of the graph of G? Write the equation of this line. Sketch graphs of F and G
