9.6 Practice (Honors)

Given a graph, how can you find the "solutions" to a quadratic?

• Copy off neighbor

• Plug into calculator

• Solutions are where the quadratic crosses the x axis

• Magic 8 Ball

• Square root

• Quadratic formula

• X-intercepts

• Discriminant 

Solutions of a quadratic equation are also called

• roots

• x-intercepts

• zeros

• All of the above

If there are no real solutions, the discriminant is

• zero

• a postive number

• a negative number

• a perfect square

If there is one solution, the discriminant is . . .

• zero

• a postive number

• a negative number

• a perfect square

Make a true statement about about Graph A

The discriminant is ​ (a)  

There will be ​ (b)  

• zero
• one solution
• positive
• negative
• two solutions

Make a true statement about about Graph B

The discriminant is ​​ (a)  

There will be ​ ​​ (b)  

• negative
• no solutions
• positive
• zero
• one solution
• two solutions

Make a true statement about about Graph C

The discriminant is ​​ ​ (a)  

There will be ​ ​ (b)  

• positive
• two solutions
• zero
• one solution
• negative

Solve using the quadratic formula :

x² - 7x + 12 = 0

• x = 3, -4

• x = -3, 4

• x = 3, 4

• x = -3, -4