2.5 Quadratic Equation 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

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.HSF-IF.C.7A

Use the quadratic formula to determine the solutions.

2x² + 2x - 12?

• -2, 3

• 2, 3

• 2, -3

• -2, -3

Tags

CCSS.HSA-REI.B.4B

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.4B

What does the discriminant tell us?

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

Tags

CCSS.HSA-REI.B.4B

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

• Positive

• Negative

• Zero

• Not Sure

Tags

CCSS.HSA-REI.B.4B

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.4B

How many solutions will this quadratic equation x²+8x+16 has?

• 2 real solutions

• 2 imaginary solution

• 1 solution

• 3 solutions

Tags

CCSS.HSA-REI.B.4B

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

• Positive
• Negative
• Zero
• Not Sure

Tags

CCSS.HSA-REI.B.4B

Which graph has a discriminant = 0?

• None of them
• Red
• Blue
• Green