Using the Graphs of Discriminants

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

Tags

CCSS.HSA-REI.B.4B

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions. (x-intercepts)

• The axis of symmetry

Tags

CCSS.HSA-REI.B.4B

____________
For the function above, is the discriminant positive, negative, or zero?

• Positive
• Negative
• Zero
• Not Sure

____________
For the function above, is the discriminant positive, negative, or zero?

• Positive
• Negative
• Zero
• Not Sure

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

Tags

CCSS.HSA-REI.B.4B

A function has a discriminant of -3.
______________
How many x-intercepts does it have?

• 0
• 1
• 2
• 3

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

If the discriminant is equal to 0, how many solutions are there?

• No real solutions

• 1 Real Solution

• 2 Real Solutions

• Infinite solutions

Tags

CCSS.HSA-REI.B.4B

If the discriminant is equal to 10, how many solutions are there?

• 2 Real, Irrational Solutions

• 1 Real Solution

• 2 Real Rational Solutions

• No Real Solutions

Tags

CCSS.HSA-REI.B.4B

If the discriminant is equal to 49, how many solutions are there?

• No Real Solutions

• 1 Real Solution

• 2 Real, Rational Solutions

• 2 Real, Irrational Solutions

Tags

CCSS.HSA-REI.B.4B

What is the discriminant and how many solutions would this quadratic have?

x² - 6x + 9 = 0

• 0, No Solutions

• 0, 1 Solution

• 72, 2 Solutions

• -72, No Solution

Tags

CCSS.HSA-REI.B.4B