Quadratics and Discriminates

If the graph of a quadratic does not touch the x-axis at any point, then it has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• No Real Solution

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

What is the discriminant of 6x² − 2x − 3 = 0

• 76

• 29

• 68

• none of these

Tags

CCSS.HSA-REI.B.4B

If the discriminant is equal to 0, how many solutions are there?

• No solutions

• 1 Solution

• 2 Solutions

• Infinite solutions

If the discriminant is equal to -2, how many solutions are there?

• No Solutions

• 1 Solution

• 2 Solutions

• Infinite Solutions

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 vertex?

• (-2,0)

• (0,0)

• (0,-4)

• (2,0)

What is the equation of the line of symmetry for this quadratic function?

• x = -3

• x= .5

• x = 4

• x = -12

• upwards

• downwards

• standard form

• vertex form

• factored form

• slope-intercept form