This math topic focuses on converting the graphical representation of quadratic functions into their corresponding vertex form equations. It requires students to analyze the vertex, direction of the parabola (whether it opens upwards or downwards), and other characteristics from the graph to determine the appropriate quadratic formula. These skills are essential for understanding the properties and transformations of quadratic functions. Each problem presents a graph, and students are tasked with choosing the correct equation that matches the graph from a set of multiple choices.

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

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Quadratics Vertex Form - Graph to Equation Worksheet

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Quadratics Vertex Form - Graph to Equation
1
Which quadratic function could create this graph?
An svg image showing a math problem
a A LaTex expression showing y=0.5(x+4) to the power of 2 +4
b A LaTex expression showing y=0.5(x-4) to the power of 2 +4
c A LaTex expression showing y=-0.5(x-4) to the power of 2 +4
d A LaTex expression showing y=-0.5(x-4) to the power of 2 -4
2
Which quadratic function could create this graph?
An svg image showing a math problem
a A LaTex expression showing y=1.5(x-1) to the power of 2 +4
b A LaTex expression showing y=1.5(x+1) to the power of 2 +4
c A LaTex expression showing y=-1.5(x-1) to the power of 2 +4
d A LaTex expression showing y=1.5(x-1) to the power of 2 -4
3
Which quadratic function could create this graph?
An svg image showing a math problem
a A LaTex expression showing y=-1.5(x+3) to the power of 2 -1
b A LaTex expression showing y=-1.5(x-3) to the power of 2 -1
c A LaTex expression showing y=-1.5(x+3) to the power of 2 +1
d A LaTex expression showing y=1.5(x+3) to the power of 2 +1
4
Which quadratic function could create this graph?
An svg image showing a math problem
a A LaTex expression showing y=0.5(x-3) to the power of 2 +2
b A LaTex expression showing y=-0.5(x+3) to the power of 2 -2
c A LaTex expression showing y=0.5(x+3) to the power of 2 +2
d A LaTex expression showing y=0.5(x-3) to the power of 2 -2
5
Which quadratic function could create this graph?
An svg image showing a math problem
a A LaTex expression showing y=1.5(x-1) to the power of 2 -3
b A LaTex expression showing y=-1.5(x-1) to the power of 2 +3
c A LaTex expression showing y=1.5(x+1) to the power of 2 +3
d A LaTex expression showing y=1.5(x-1) to the power of 2 +3
6
Which quadratic function could create this graph?
An svg image showing a math problem
a A LaTex expression showing y=-0.5(x-3) to the power of 2 -1
b A LaTex expression showing y=0.5(x-3) to the power of 2 -1
c A LaTex expression showing y=-0.5(x+3) to the power of 2 +1
d A LaTex expression showing y=0.5(x+3) to the power of 2 -1
7
Which quadratic function could create this graph?
An svg image showing a math problem
a A LaTex expression showing y=1.5(x+3) to the power of 2 +4
b A LaTex expression showing y=-1.5(x+3) to the power of 2 -4
c A LaTex expression showing y=1.5(x-3) to the power of 2 -4
d A LaTex expression showing y=1.5(x+3) to the power of 2 -4
8
Which quadratic function could create this graph?
An svg image showing a math problem
a A LaTex expression showing y=-1.5(x-1) to the power of 2 +1
b A LaTex expression showing y=-1.5(x+1) to the power of 2 +1
c A LaTex expression showing y=-1.5(x+1) to the power of 2 -1
d A LaTex expression showing y=1.5(x+1) to the power of 2 +1