This math topic focuses on finding the range of quadratic functions presented in vertex form. Each problem provides a quadratic equation and requires determining its possible range values from multiple-choice answers. The equations are depicted in LaTeX format accompanying each question to visually present the mathematical expressions. This educational exercise is designed to enhance the student's understanding of how quadratic equations' structure affects their range, which is a core concept in the study of quadratic functions and their graphs.

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Quadratics Vertex Form - Equation to Range Worksheet

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Quadratics Vertex Form - Equation to Range
1
What would the range of this function be?
A LaTex expression showing y=-1.5(x-3) to the power of 2 -3
a A LaTex expression showing [-3,3]
b A LaTex expression showing (-\infty,3]
c A LaTex expression showing (-\infty,-3]
d A LaTex expression showing [-1.5,3]
2
What would the range of this function be?
A LaTex expression showing y=0.5(x-2) to the power of 2 +4
a A LaTex expression showing [4,\infty)
b A LaTex expression showing [0.5,\infty)
c A LaTex expression showing [0.5,2]
d A LaTex expression showing [2,\infty)
3
What would the range of this function be?
A LaTex expression showing y=1.5(x+3) to the power of 2 -2
a A LaTex expression showing [-2,-3]
b A LaTex expression showing (-\infty,-3]
c A LaTex expression showing [-3,\infty)
d A LaTex expression showing [-2,\infty)
4
What would the range of this function be?
A LaTex expression showing y=1.5(x-1) to the power of 2 +1
a A LaTex expression showing [1,1]
b A LaTex expression showing [1.5,\infty)
c A LaTex expression showing [1.5,1]
d A LaTex expression showing [1,\infty)
5
What would the range of this function be?
A LaTex expression showing y=(x-3) to the power of 2 +3
a A LaTex expression showing [3,\infty)
b A LaTex expression showing [1,3]
c A LaTex expression showing [3,3]
d A LaTex expression showing [1,\infty)
6
What would the range of this function be?
A LaTex expression showing y=-0.5(x+1) to the power of 2 -3
a A LaTex expression showing (-\infty,-1]
b A LaTex expression showing [-3,-1]
c A LaTex expression showing (-\infty,-3]
d A LaTex expression showing [-0.5,-1]
7
What would the range of this function be?
A LaTex expression showing y=-1(x+2) to the power of 2 -3
a A LaTex expression showing (-\infty,-1]
b A LaTex expression showing [-3,-2]
c A LaTex expression showing (-\infty,-3]
d A LaTex expression showing (-\infty,-2]
8
What would the range of this function be?
A LaTex expression showing y=-0.5(x+1) to the power of 2 -4
a A LaTex expression showing (-\infty,-4]
b A LaTex expression showing (-\infty,-1]
c A LaTex expression showing [-0.5,-1]
d A LaTex expression showing (-\infty,-0.5]