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Jul 5, 2023 · The equation for the function graphed below, a quadratic function with a vertex at (2, -3) and a y-intercept of 1, is f (x) = (x −2)2 − 3. To write the equation for the quadratic function graphed …

First, locate the x -intercepts at ( 2 , 0 ) and ( 4 , 0 ) . Next, write the factor for each x -intercept. The factors that result in the given zeros are ( x + 2 ) and ( x 4 ) . The equation for this quadratic function …

We previously wrote the equation for a linear function from a graph. Now we can extend what we know about graphing linear functions to analyze graphs a little more closely.

Dec 1, 2025 · This lesson shows you how to look at the graph of a square root or cubed root function and determine the equation.

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May 6, 2022 · We can use the information presented in a graph to write an equation. In this guide, you learn more about writing an equation from a graph.

Write an equation for the function graphed below y= Get help: Video Box 1: Enter your answer as an expression. Be sure your variables match those in the question

Learn how to write the equation of a quadratic function given its graph, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.

Apr 30, 2023 · Plug the x and y values of the y-intercept into the equation: 1 = a (0 - 1)^2 + 3. Solve for 'a': 1 = a (1) + 3. -2 = a. Now that we've found 'a', we can write the equation of the quadratic function …