Unit 1B quadratics Day 6.

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Presentation transcript:

Unit 1B quadratics Day 6

Quadratic Formula and Discriminant EQ: How do we use the Quadratic Formula and tell how many solutions a function has? M2 Unit 1B: Day 6

Quadratic Formula

Remember The equation must = 0 before using the QF You must label a, b, and c

Use the QF to solve:

Use the QF to solve:

Use the QF to solve:

Use the QF to solve:

Use the QF to solve:

Use the QF to solve:

Let’s look at the different solutions that we got In we got In we got In we got The expression under the radical (the radicand) determines what the solution will look like. We call the radicand in the QF the DISCRIMINANT

Let’s explore and compare the discriminants In we got In we got In we got

The Discriminant: tells us how many and what type of solutions we will get Positive 2 real solutions zero 1 real solutions Negative 2 imaginary solutions

Find the discriminant to determine how many solutions and what type they are. Draw a quick sketch. 2 imaginary solutions 2 real solutions Opens up, does not cross x-axis. Opens down, crosses x-axis twice.

Find the discriminant to determine how many solutions and what type they are. Draw a quick sketch. 2 real solutions 1 real solution Opens up, crosses x-axis twice. Opens up, crosses x-axis once.

Homework: Textbook: Pg. 93 # 1 – 11