Discriminates

The formula for the discriminate is written as

• (x-H)² + K

• b² - 4ac

• 
• Ax²+Bx+C

The graphs above show the discriminates as

• greater than 0, less than 0, equal to 0

• less than 0, equal to 0, greater than 0

• less than 0, greater than 0, equal to 0

• equal to 0, less than 0, greater than 0

Using the quadratic equation, for this function f(x)=3x²+4x−8 the discriminate indicates we will have

• 2 real roots and 0 imaginary roots

• 2 imaginary roots and 0 imaginary roots

• 1 real root and 1 imaginary root

• 1 real root and 0 imaginary roots

• 1 imaginary root and 0 real roots

If the Discriminate is greater than 0 it has how many roots?

• 0

• 1

• 2

• 3

Which graph has a discriminant = 0?

• None of them

• Red

• Blue

• Green

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

Use the discriminant to determine the number of real solutions to each equation.

• Two Real Solutions

• One Real Solution

• Two Imaginary Solutions

Given the graph, what must the sign of the discriminant be?

• Positive

• Negative

• Zero

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

• -92, Two Complex Solutions

• -164, Two Complex Solutions

• -164, Two Real Solutions

• -92, Two Real Solutions

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

• Positive

• Negative

• Zero