Nature of Roots

• No real roots

• 2 real and equal roots

• 2 real and distinct roots

• 2 real and equal roots

• No real roots

• 2 real and distinct roots

Which option describes the discriminant when the roots are real?

• discriminant is positive

• discriminant is positive or equal to zero

• discriminant is negative

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Which of the following describes the conditions when a quadratic graph is always negative?

• Discriminant < 0 and a > 0

• Discriminant = 0 and a <0

• Discriminant < 0 and a < 0

Which graphs below has real and repeated roots?

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• a < 0 and Discriminant > 0

• a < 0 and discriminant < 0

• a > 0 and discriminant < 0

• a < 0 and Maximum value of y is negative

A quadratic graph lies completely above the x-axis. Under what conditions does this occur?

• a < 0 and Discriminant < 0

• a > 0 and Discriminant < 0

• a > 0 and Maximum value of y is negative

• a > 0 and Minimum value of y is positive