Exploring Algebra - Teacher Hub

Module 6 Open-Ended Questions

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1. Lisa says that y = x2 is the same as y = (-x)2. Angie says that they are different. Who is correct? Explain and include graphs.

 

2. Explain why 3 and -3 are both squares roots of 9.

 

3. For the quadratic equation ax2 + bx + c = 0 where a 0, the value of the discriminate tells you the number of solutions. using the chart below, explain what this means. you may include a sketch of the graphs if necessary.

Value of discriminate

Number of solutions

b2 - 4ac > 0
b2 - 4ac = 0
b2 - 4ac < 0

two
one
none

 

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