Discriminant and Quadratic Equations

Organize these options into the right categories

Groups:

(a) No Real Solutions

,

(b) One Real Solution

,

(c) Two Real Solutions

What do you know about the discriminant?

• It equals zero

• It is greater than zero

• It is less than zero

• It has no discriminant

• a: 2,  b: 5,  c: 3

• a: -2,  b: 5,  c: -3

• a: 2,  b: -5,  c: -3

• a: 2,  b: -5,  c: 3

Which graph has a discriminant = 0?

• None of them
• Red
• Blue
• Green

Which graph has a discriminant = negative number?

• None of them
• Red
• Blue
• Green

Which graph has a discriminant = positive number?

• None of them
• Red
• Blue
• Green

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• 2 Complex (imaginary) Solutions

Determine the value of the discriminant and describe the number and type roots for the following:

x² + 7x + 13

• 101, 2 real roots

• 3, 2 real roots

• -101, 2 complex roots

• -3, 2 complex roots

What are the zeros of this graph?

• x = {-4, 2}

• (-4, 0 ) and (2, 0)

• x = {-1, 0}

• (-1, 9 ) and (0, -8)

Which value is the y-intercept?

• (-4, 0)

• (-1, -9)

• (0, -8)

• (2, 0)