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Name () 2 Exploring graphs of quadratics in the form: y an × h + k Graph the following equations using a table of values. Be sure to find at least 6 pts for each function. Parent Graph 1. Y × 2
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How to fill out exploring graphs of quadratics

01
Start by identifying the equation of the quadratic function.
02
Rewrite the quadratic function in standard form if necessary.
03
Find the coordinates of the vertex by using the formula: x = -b/2a.
04
Plot the vertex on the coordinate plane.
05
Determine if the parabola opens upward or downward based on the value of 'a' in the equation.
06
Find the y-intercept by substituting x = 0 into the equation.
07
Plot the y-intercept on the graph.
08
Choose a few x-values on either side of the vertex and substitute them into the equation to find the corresponding y-values.
09
Plot these points on the graph.
10
Draw a smooth curve through the plotted points to complete the graph.

Who needs exploring graphs of quadratics?

01
Students studying algebra or precalculus need to explore graphs of quadratics as part of their curriculum.
02
Engineers and scientists often work with quadratic functions and need to understand their visual representation.
03
Architects and designers may use quadratic graphs to model and analyze structural elements.
04
Anyone interested in understanding the behavior and characteristics of quadratic functions can benefit from exploring their graphs.
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Exploring graphs of quadratics involves analyzing the shape and behavior of quadratic functions graphically.
Students studying algebra or calculus may be required to explore graphs of quadratics.
To fill out exploring graphs of quadratics, one must plot the points, identify key features such as the vertex and x-intercepts, and analyze the direction of the graph.
The purpose of exploring graphs of quadratics is to understand the relationship between the equation of a quadratic function and its graphical representation.
Information such as the vertex, axis of symmetry, x-intercepts, and any transformations applied to the graph must be reported on exploring graphs of quadratics.
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