Quadratic Equations, Discriminant Graphing

Determine the vertex of:

y = x² + 8x - 10

• (4,38)

• (-8,10)

• (-4,-26)

• (2,10)

Determine the vertex of:

y = -3x²-6x+9

• (1,0)

• (3,-36)

• (-1,18)

• (-1,12)

Does this parabola open up or down?

• y = -8x² +18x + 20

• up

• down

Does this parabola open up or down?

y = 4x² - 3x - 9

• up

• down

Find the discriminate of the following quadratic equation: 4x^2-5x-6=0

Mathematical Equivalence

ON

Which of the following graphs would have a NEGATIVE discriminant?

• 
• 
• 
• 

What does the discriminant tell us?

• The number and type of solutions

• The number of stars in the universe (this is not the right answer)

What is the discriminant and how many solutions would this quadratic have?

• 205, 2 Solutions

• -71, No Solutions

• 121, 2 Solutions

• 121, 1 Solution

If the discriminant is zero you will have

• no real solutions

• two real solutions

• 1 real solution

• 1 imaginary solution

Which graph has a discriminant = 0?

• None of them

• Red

• Blue

• Green