Discriminant, solutions and imaginary numbers

Match the following

• imaginary

• If the graph of a quadratic function touches the x-axis only once, then the discriminant would be____?

• equal to zero

• If the graph of a quadratic function does not touch the x-axis at all, then the solutions would be......?

• x-intercepts

• If the quadratic equation has two solutions, then the discriminant would be_____?

• positive

• If the discriminant of a quadratic equation is equal to 5, then the graph will have two ____?

Tags

CCSS.HSA-REI.B.4B

1 The discriminant is

• aX² + bX + c

• b - 4ac

• b² - 4ac

• b² + 4ac

Tags

CCSS.HSA-REI.B.4B

1 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

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

y = x² + 4x + 4

• Positive

• Negative

• Zero

Tags

CCSS.HSA-REI.B.4B

2 A function has a discriminant of 4.

How many x-intercepts does it have?

• 0

• 1

• 2

• 4

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

2 A function has a discriminant of 0.

How many x-intercepts does it have?

• 0

• 1

• 2

• 5

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

• Positive

• Negative

• Zero

Tags

CCSS.HSA-REI.B.4B

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

• Positive

• Negative

• Zero

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

What is the discriminant of this equation?

3x² + 8x = 0

• 64

• 52

• 9

• 0

Tags

CCSS.HSA-REI.B.4B