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Name: Date: Mr. Period: Regents Review Graphing Parabolas & Axis of Symmetry1) A student correctly graphed the parabola shown below to solve a quadratic equation. What are the roots of the quadratic
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How to fill out graphing parabolas amp axis

01
To fill out the graphing parabolas and axis, follow these steps:
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Start by identifying the equation of the parabola in the form of y = ax^2 + bx + c.
03
Determine the vertex of the parabola using the formula x = -b/2a. This will give you the x-coordinate of the vertex.
04
Substitute the x-coordinate of the vertex back into the equation to find the y-coordinate of the vertex.
05
Plot the vertex point on the coordinate plane.
06
Determine the axis of symmetry, which is the vertical line passing through the vertex. The equation of the axis of symmetry is x = x-coordinate of the vertex.
07
Plot additional points on the graph by substituting different x-values into the equation and calculating the corresponding y-values.
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Connect the points smoothly to form a curve, making sure the graph is symmetric around the axis of symmetry.

Who needs graphing parabolas amp axis?

01
Graphing parabolas and axis is a fundamental skill in mathematics, and it is beneficial for anyone studying or working in fields such as:
02
- Algebra and precalculus: Graphing parabolas helps in understanding quadratic functions and their properties.
03
- Physics: Parabolic motion and projectile motion are commonly described by parabolic equations.
04
- Engineering: Parabolas are used in various engineering disciplines for designing and analyzing structures, trajectories, and shapes.
05
- Data analysis: Parabolic graphs can be used to represent and analyze data patterns.
06
- Computer graphics: Understanding parabolas and graphing techniques is essential for creating visually appealing computer-generated images and animations.

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Graphing parabolas and axis involves plotting and visualizing the shape of a parabola on a coordinate system.
Students studying algebra or calculus may be required to graph parabolas and axis as part of their coursework.
To fill out graphing parabolas and axis, you need to identify the equation of the parabola, plot the vertex, axis of symmetry, and key points, and then draw the curve to represent the parabola.
The purpose of graphing parabolas and axis is to visually represent the shape and key characteristics of a parabolic function.
On a graphing parabolas and axis plot, the vertex, axis of symmetry, and key points such as intercepts and maximum/minimum points must be reported.
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