1 - Worksheet - Characteristics of Parabolas 2025

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The key features include roots/zeros/x-intercepts/solutions, vertex, intervals of increase and decrease, end behavior, domain, and range.
The general equation of a parabola is: y = a(x-h)2 + k or x = a(y-k)2 +h, where (h,k) denotes the vertex. The standard equation of a regular parabola is y2 = 4ax. Some of the important terms below are helpful to understand the features and parts of a parabola y2 = 4ax.
Given a quadratic function that models a relationship, we can rewrite the function to reveal certain properties of the relationship. Factored form helps us identify the x-intercepts or zeros of the function.
For a quadratic, these are: The roots (where the function crosses the x -axis, and called the x -intercepts) The y -intercept. The vertex (sometimes called the turning point)
Key Features of Parabolas Practice Students use graphs of parabolas to identify key features including roots, axis of symmetry, vertex, y-intercept, etc. Students use graphs of parabolas to identify key features including roots, axis of symmetry, vertex, y-intercept, etc.