Equation of a Parabola

My Equation .

My Graph

A = 1/3

The variable A is what’s making my graph wider than the standard graph. A is what determines the width of the graph and the closer A is to 0 the wider it gets. A is also the reason why my graph opens upward like the standard graph. If A were negative the graph would open downward

H = -1

The variable H is what determines my graphs axis of symmetry or the graphs position on the X axis. Because H is equal to -1 the graph is shifted to left and is further left on the X axis then the standard graph.

K = -1

The variable K is what determines were the graphs vertex is on the Y axis. H is what makes my graphs vertex lower on the Y axis than the standard graph.

Self Assessment

  1. I represented the Axis of symmetry or the H variable in 3 different ways. I represented it in the graph with the graphs shift on the X axis, I represented it in the equation in with H, and I described the importance of it in a sentence
  2. I demonstrated my understanding while describing the importance of K by saying that K affects the position of the vertex
  3. I formatted information in a clear way by taking a screenshot of what the graph of my equation looks like