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Home > CCA2 > Chapter 2 > Lesson 2.2.4 > Problem 2-146

2-146.

A parabola has vertex and contains the point . 2-146 HW eTool (Desmos). Homework Help ✎.

  1. If this parabola is a function, find its equation.

    Recall the standard form for the equation of a parabola:
    Substitute the appropriate values for the vertex , and x and y (0, 0), then solve for a.

    Refer to problem 2-127 in Lesson 2.2.3 if you need more help.

  2. Suppose this parabola is not a function, but is a “sleeping” parabola. Find its equation.

    Use the equation where the vertex is at (h, k).

    Use the eTool below to graph the equations.
    Click the link at right for the full version of the eTool: CCA2 2-146 HW eTool