This math topic focuses on determining the range of quadratic functions presented in vertex form. Each problem presents a graph of a quadratic equation and students are tasked with identifying the correct range of the function from multiple choices. The skills honed in these problems include understanding how the vertex form of a quadratic equation relates to its graph, analyzing the direction of the parabola (upward or downward), and determining the minimum or maximum value that represents the boundary of the range. This foundational topic is integral for students learning about the characteristics and behavior of quadratic functions.

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

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Quadratics Vertex Form - Graph to Range Worksheet

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Quadratics Vertex Form - Graph to Range
1
What would the range of this function be?
An svg image showing a math problem
a A LaTex expression showing [1,\infty)
b A LaTex expression showing [-1,\infty)
c A LaTex expression showing (-\infty,-1]
d A LaTex expression showing (-\infty,1]
2
What would the range of this function be?
An svg image showing a math problem
a A LaTex expression showing (-\infty,2]
b A LaTex expression showing [-2,\infty)
c A LaTex expression showing (-\infty,-2]
3
What would the range of this function be?
An svg image showing a math problem
a A LaTex expression showing (-\infty,3]
b A LaTex expression showing [3,\infty)
c A LaTex expression showing (-\infty,-3]
d A LaTex expression showing [-3,\infty)
4
What would the range of this function be?
An svg image showing a math problem
a A LaTex expression showing [-2,\infty)
b A LaTex expression showing [2,\infty)
c A LaTex expression showing (-\infty,2]
d A LaTex expression showing (-\infty,-2]
5
What would the range of this function be?
An svg image showing a math problem
a A LaTex expression showing (-\infty,-3]
b A LaTex expression showing [3,\infty)
c A LaTex expression showing (-\infty,3]
d A LaTex expression showing [-3,\infty)
6
What would the range of this function be?
An svg image showing a math problem
a A LaTex expression showing (-\infty,-4]
b A LaTex expression showing [-4,\infty)
c A LaTex expression showing (-\infty,4]
d A LaTex expression showing [4,\infty)
7
What would the range of this function be?
An svg image showing a math problem
a A LaTex expression showing [-4,\infty)
b A LaTex expression showing [4,\infty)
c A LaTex expression showing (-\infty,-4]
d A LaTex expression showing (-\infty,4]
8
What would the range of this function be?
An svg image showing a math problem
a A LaTex expression showing [3,\infty)
b A LaTex expression showing (-\infty,-3]
c A LaTex expression showing [-3,\infty)