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8.01 Solving quadratic equations using graphs and tables

Adaptive
Worksheet

Interactive practice questions

A graph of the parabola $y=x^2+3x-10$y=x2+3x10 is shown below.

Does the equation $x^2+3x-10=0$x2+3x10=0 have real or non-real solutions?

Loading Graph...

Real

A

Non-real

B
Easy
< 1min

A graph of the parabola $y=-x^2+4x+4$y=x2+4x+4 is shown below.

Does the equation $-x^2+4x+4=0$x2+4x+4=0 have real or non-real solutions?

Easy
< 1min

A graph of the parabola $y=x^2-6x+15$y=x26x+15 is shown below.

Does the equation $x^2-6x+15=0$x26x+15=0 have real or non-real solutions?

Easy
< 1min

A table of values for the quadratic $y=x^2+7x+12$y=x2+7x+12 is shown below.

Easy
< 1min
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Outcomes

MA.912.AR.3.1

Given a mathematical or real-world context, write and solve one-variable quadratic equations over the real number system.

MA.912.AR.3.7

Given a table, equation or written description of a quadratic function, graph that function, and determine and interpret its key features.

MA.912.AR.3.8

Solve and graph mathematical and real-world problems that are modeled with quadratic functions. Interpret key features and determine constraints in terms of the context.

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