This math topic focuses on recognizing and matching quadratic equations to their corresponding graphs. It practices the skill of analyzing the properties of quadratic equations, such as the shape of the parabola indicated by the sign of the leading coefficient, and determining which graphical representation accurately portrays the equation based on characteristics like vertex position and direction of opening. Each problem provides a quadratic equation and requires selecting the correct graphical representation from multiple options. This involves understanding the impact of the quadratic discriminant on the graph of the equation.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Quadratic Discriminants - Equation to Graph Worksheet

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Quadratic Discriminants - Equation to Graph
1
Which graph shows this quadratic equation?
A LaTex expression showing y=-1x to the power of 2 -3x+3
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
2
A LaTex expression showing y=1.5x to the power of 2 -3x
Which graph shows this quadratic equation?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
3
A LaTex expression showing y=x to the power of 2 -3x+1
Which graph shows this quadratic equation?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
4
A LaTex expression showing y=x to the power of 2 +3x-1
Which graph shows this quadratic equation?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
5
A LaTex expression showing y=x to the power of 2 +4x-1
Which graph shows this quadratic equation?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
6
Which graph shows this quadratic equation?
A LaTex expression showing y=-0.5x to the power of 2 +3x+3
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
7
Which graph shows this quadratic equation?
A LaTex expression showing y=0.5x to the power of 2 +3x+3
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
8
A LaTex expression showing y=-1x to the power of 2
Which graph shows this quadratic equation?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem