This math topic focuses on quadratic discriminants and their relation to the roots of quadratic equations. It allows students to practice identifying valid roots based on provided quadratic graphs. Each problem presents a graph of a quadratic function and offers multiple answer choices, where students need to determine the correct root or roots of the function. Answers include both real and complex roots, which helps in understanding the different possible outcomes when solving quadratic equations using discriminants and the quadratic formula. This is an introductory level set designed to build foundational skills in this area of algebra.

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

more
View

Quadratic Discriminants - Graph to Root Example Worksheet

Mobius Math Academy logo
Quadratic Discriminants - Graph to Root Example
1
Which root(s) would be valid for this quadratic function?
An svg image showing a math problem
a A LaTex expression showing x=0.84 \\x=7.16 \\
b A LaTex expression showing x=4.4 \\
c A LaTex expression showing x=\frac{5.6 \pm isquare root of 6.3}{5} \\
2
Which root(s) would be valid for this quadratic function?
An svg image showing a math problem
a A LaTex expression showing x=1.8 \\x=3.1 \\
b A LaTex expression showing x=0.33 \\
c A LaTex expression showing x=\frac{6 \pm isquare root of 7.1}{2.4} \\
3
Which root(s) would be valid for this quadratic function?
An svg image showing a math problem
a A LaTex expression showing x=-5 \\x=-0 \\
b A LaTex expression showing x=6.2 \\
c A LaTex expression showing x=\frac{8.3 \pm isquare root of 5.1}{7.9} \\
4
Which root(s) would be valid for this quadratic function?
An svg image showing a math problem
a A LaTex expression showing x=4.2 \\x=3.1 \\
b A LaTex expression showing x=9.4 \\
c A LaTex expression showing x=\frac{3 \pm isquare root of 7}{2} \\
5
Which root(s) would be valid for this quadratic function?
An svg image showing a math problem
a A LaTex expression showing x=0.59 \\x=3.41 \\
b A LaTex expression showing x=1.2 \\
c A LaTex expression showing x=\frac{3.8 \pm isquare root of 4.9}{5.5} \\
6
Which root(s) would be valid for this quadratic function?
An svg image showing a math problem
a A LaTex expression showing x=-0.62 \\x=1.62 \\
b A LaTex expression showing x=9.2 \\
c A LaTex expression showing x=\frac{2.4 \pm isquare root of 9.8}{4.4} \\
7
Which root(s) would be valid for this quadratic function?
An svg image showing a math problem
a A LaTex expression showing x=0.45 \\x=-4.45 \\
b A LaTex expression showing x=6.3 \\
c A LaTex expression showing x=\frac{9.3 \pm isquare root of 7.2}{8.4} \\
8
Which root(s) would be valid for this quadratic function?
An svg image showing a math problem
a A LaTex expression showing x=-4.79 \\x=-0.21 \\
b A LaTex expression showing x=7 \\
c A LaTex expression showing x=\frac{6.1 \pm isquare root of 7.9}{5.4} \\