The Discriminant and Quadratic Formula

What is this formula?

• The vertex formula.

• The quadratic formula.

• The discriminant formula.

• The slope formula.

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Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

• 
• 
• 

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The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. How long will it take for the balloon explode on the ground? Use the quadratic formula to find the positive solution to the equation.

• 5 seconds

• 1 second

• 2 seconds

• 3 seconds

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A2.AREI.4

This method will successfully solve any quadratic equation

• Factoring

• Taking Square Roots

• The Quadratic Formula

• The Discriminant

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If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

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

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solution

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

Which graph has a discriminant > 0?

• None of them

• Red

• Blue

• Green

• -160

• 80

• 40

• 128