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Write an equation of the function

Write an equation of the function

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Write an equation of the function
**Consider the function graphed below.** The graph depicts a parabola, which is the shape of a quadratic function. The parabola is symmetrical and opens upwards with its vertex at the origin (0,0). **Graph Details:** - The x-axis ranges from -8 to 8. - The y-axis ranges from -8 to 8. - The graph is plotted on a grid with 1-unit intervals marked on both axes. **Task:** Write the equation of the function. (Answer may be in the form \( y = ax^2 + bx + c \).) **Hints:** - Observe the symmetry and vertex to determine the values of \( a \), \( b \), and \( c \). - Use the grid to identify any points through which the parabola passes, helping to confirm the equation.
Transcribed Image Text:**Consider the function graphed below.** The graph depicts a parabola, which is the shape of a quadratic function. The parabola is symmetrical and opens upwards with its vertex at the origin (0,0). **Graph Details:** - The x-axis ranges from -8 to 8. - The y-axis ranges from -8 to 8. - The graph is plotted on a grid with 1-unit intervals marked on both axes. **Task:** Write the equation of the function. (Answer may be in the form \( y = ax^2 + bx + c \).) **Hints:** - Observe the symmetry and vertex to determine the values of \( a \), \( b \), and \( c \). - Use the grid to identify any points through which the parabola passes, helping to confirm the equation.
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