Algebra 1 worksheet on transformations of quadratic functions in vertex form, explaining the effects of coefficients a, h, and k on the graph.

- The parameter 'a' determines the direction the parabola opens and its vertical stretch or compression. If a > 0, the parabola opens upwards; if a < 0, it opens downwards. The absolute value of 'a' (|a|) controls the width: if |a| > 1, the parabola is narrower (vertically stretched); if 0 < |a| < 1, it is wider (vertically compressed).
- The parameter 'h' controls the horizontal translation of the parabola. It shifts the vertex left or right along the x-axis. If h > 0, the graph moves right by h units; if h < 0, the graph moves left by |h| units.
- The parameter 'k' controls the vertical translation of the parabola. It shifts the vertex up or down along the y-axis. If k > 0, the graph moves up by k units; if k < 0, the graph moves down by |k| units.