Finding the Number of Solutions to a Quadratic Function

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

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

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solution

Tags

CCSS.HSF-IF.C.7A

Does the equation open or or down? 
Y = -3x² +7x - 2

• up
• down

Tags

CCSS.HSF-IF.C.7A

Use the quadratic formula to determine the solutions.

2x² + 2x - 12?

• -2, 3

• 2, 3

• 2, -3

• -2, -3

Use the quadratic formula to determine the solutions.

2x² - 9x - 35 = 0

• x = 7/2, x = -6

• x = -5/2, x =5

• x = -3/7, x =6

• x = -5/2, x = 7

Tags

CCSS.HSA-REI.B.4B

The formula to determine how many solutions a quadratic equation is called the discriminant which is...

• aX² + bX + c

• b - 4ac

• b² - 4ac

• b² + 4ac

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

If the discriminant is negative, you will have....

• two real solutions

• two irrational solutions

• no solution

• one solution

Tags

CCSS.HSA-REI.B.4B

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

___________

y = x² + 4x + 4

• Positive

• Negative

• Zero

• Not Sure

Tags

CCSS.HSA-REI.B.4B

What  are the solutions of this graph?

• -2 and 3
• -1/2 and -6
• -2 and -6
• 3 and -6