Quadratic Formula & Discriminant

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

• Positive
• Negative
• Zero
• Not Sure

Tags

CCSS.HSA.REI.B.4

If the discriminant is negative, then the quadratic has:

• 1 Real solution

• 2 Real solutions

• Half a solution

• 2 Complex (imaginary) solutions

Tags

CCSS.HSA-REI.B.4B

Solve
 $2x^2-3x-3=0$  

• 
• 
•  $\left\{2,\ 1\right\}$  

• 

Tags

CCSS.HSA-REI.B.4B

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

Which graph has a discriminant = 0?

• None of them

• Red (top parabola)

• Blue (bottom parabola)

• Green (middle parabola)

Use the discriminant to determine the number of solutions 4x² + 4x + 1 = 0 has?

• 0

• 1

• 2

• More than 2

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to solve 3x² - 11x + 10

• 1.7 or 2

• 1 or 2

• 1.5 or 2

• -1.7 or 2

Tags

CCSS.HSA-REI.B.4B

What are the solutions to x² - 3x = 5?

• 
• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

A coin is being tossed from a 40 foot tall tower of a castle. The coin is tossed upward off of the tower with a velocity of 9 ft/sec. Use the formula h(t) = -16t² + 9t + 40 to calculate how long it will take the coin to hit the ground.

• 1.6059 seconds

• 1.8772 seconds

• -1.3247 seconds

• 1.8872 seconds

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4
• -4 & 10
• -8 & 4
• 8 & -4

Tags

CCSS.HSA-REI.B.4B