First, determine the opening direction, symmetry axis and vertex coordinates of the parabola y equal to the square of 1 / 2 x plus x minus 4, and draw the drawing at the tracing point

First, determine the opening direction, symmetry axis and vertex coordinates of the parabola y equal to the square of 1 / 2 x plus x minus 4, and draw the drawing at the tracing point

Y = (1 / 2) x & # - 178; + x-4 = (1 / 2) (X & # - 178; + 2x) - 4 = (1 / 2) (X & # - 178; + 2x + 1) - 4-1 / 2 = (1 / 2) (x + 1) &# - 178; - 9 / 2 opening direction upward, axis of symmetry is straight line x = - 1, vertex coordinates (- 1, - 9 / 2), point drawing: