Quadratic Formula and Discriminant

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solution

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Does the equation open or or down? 
Y = -3x² +7x - 2

• up
• down

Use the quadratic formula to determine the solutions.

2x² + 2x - 12?

• -2, 3

• 2, 3

• 2, -3

• -2, -3

Tags

CCSS.HSA.REI.B.4

The formula to determine how many solutions a quadratic equation is called the discriminant which is...

• aX² + bX + c

• b - 4ac

• b² - 4ac

• b² + 4ac

Tags

CCSS.HSA.REI.B.4

What does the discriminant tell us?

• The maximum or minimum
• The y-intercept
• The number and type of solutions
• The axis of symmetry

If the discriminant is negative, you will have....

• two real solutions

• two irrational solutions

• no solution

• one solution

Tags

CCSS.HSA.REI.B.4

What  are the solutions of this graph?

• -2 and 3
• -1/2 and -6
• -2 and -6
• 3 and -6

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Use the discriminant to determine the number of solutions the following quadratic equation has.

-2x² − x − 1 = 0

• 76 Two Solutions

• -7 No Solutions

• 9 Two Solutions

• 0 One Solution

Tags

CCSS.HSA.REI.B.4

Use the discriminant to determine the number of solutions the following quadratic equation has.

6x² − 2x − 3 = 0

• 76 Two Solutions

• 29 Two Solutions

• 68 Two Solutions

• none of these

Tags

CCSS.HSA.REI.B.4