![]() ![]() When a parabola faces upwards, the vertex is the lowest point of the graph.Depending on the orientation of the graph, the vertex can be a maximum point or a minimum point. This implies that the vertex lies along the vertical line ![]() Since the x-coordinate is 3 and the y-coordinate is 8, the vertex is the ordered pair (3, 8). This implies that the vertex lies along the vertical lineįirst, we need to locate the vertex and write its location as an ordered pair. Since the x-coordinate is -5 and the y-coordinate is 2, the vertex is the ordered pair (-5, 2). Since the x-coordinate is 4 and the y-coordinate is -3, the vertex is the ordered pair (4, -3). Given each parabola, state the equation of the axis of symmetry.įirst, we need to locate the vertex and write its location as an ordered pair. The axis is a vertical line and therefore has an equation x = h. Given the values of a, h, and k, fill in the formula.Įvery parabola has an axis of symmetry that crosses through the vertex. Let's begin by learning how to substitute the values of a, h, and k into the formula This video demonstrates how pilots use parabolas in flight to produce zero-gravity situations: ![]() Parabolas occur naturally in the real world when considering the flight of an object moving forward while in the air. H = the x-coordinate and k = the y-coordinateĪ Parabola is a U-shaped graph that is vertically symmetrical about a line that intersects the vertex of the graph.Ī parabola can be rotated and face either up, or down, but never sideways. (h, k) are the (x, y) coordinates of the vertex of the parabola. Where: a = vertical stretch or shrink of the parabola The formula for the vertex form of a parabola is: ![]()
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