This math topic involves identifying graphs of quadratic functions given their vertex form. Students practice correlating the provided coordinates of a vertex (x, y) and the direction in which the parabola opens (upward or downward) with the correct graphical representation of the quadratic function. Each question lists a specific vertex and direction, asking students to choose the correct graph that corresponds to these details. There are seven questions in total, aimed at helping students strengthen their skills in recognizing and understanding the graph of a quadratic equation based on vertex properties.

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

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Quadratics Vertex Form - Vertex to Graph Worksheet

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Quadratics Vertex Form - Vertex to Graph
1
(3, -3), opening down
Which graph shows this a quadratic function with this vertex?
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
(2, -1), opening up
Which graph shows this a quadratic function with this vertex?
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
(3, -2), opening down
Which graph shows this a quadratic function with this vertex?
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
(-4, 2), opening up
Which graph shows this a quadratic function with this vertex?
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
(-2, -1), opening down
Which graph shows this a quadratic function with this vertex?
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
(-2, -2), opening up
Which graph shows this a quadratic function with this vertex?
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
(3, -1), opening down
Which graph shows this a quadratic function with this vertex?
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
(3, 1), opening up
Which graph shows this a quadratic function with this vertex?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem