Quadratic Equation Characteristic

Order each group of quadratic functions from narrowest to widest graph.

• 
• 
• 
• 

f(x) = x² - 12x + 35

Find the vertex of the following.

• (7,0)

• (5, 0)

• (0, 35)

• (6, -1)

The discriminant of an equation, b² - 4ac, equals 46. What does that mean about the solution(s)?

• There is 1 rational solution.

• There are 2 rational solutions.

• There are 2 irrational solutions.

• There are no real solutions.

The discriminant of an equation, b² - 4ac, equals -20. What does that mean about the solution(s)?

• There is 1 rational solution.

• There are 2 rational solutions.

• There are 2 irrational solutions.

• There are no real solutions.

The discriminant of an equation,

b² - 4ac, equals 256.

What does that mean about the solution(s)?

• There is 1 rational solution.

• There are 2 rational solutions.

• There are 2 irrational solutions.

• There are no real solutions.

• Factoring

• Square Root

• Completing the Square

What characteristic(s) is(are) an indicator that the square root method works best?

• b=0 so the bx term is not in the equation

• there is a perfect square trinomial given

• a=1, b is even, and there's a non-zero number on the other side

• the expression can be easily factored

What characteristic(s) is(are) an indicator that the completing the square method works best?

• b=0 so the bx term is not in the equation

• there is a perfect square trinomial given

• a=1, b is even, and there's a non-zero number on the other side

• the expression can be easily factored

What characteristics are an indicator that the factoring method could be used to solve the quadratic?

• b=0 so the bx term is not in the equation

• there is a perfect square trinomial given

• a=1, b is even, and there's a non-zero number on the other side

• the expression can be easily factored

In a quadratic equation, the "bx" term is also called...

• the quadratic term

• the linear term

• the constant

• the vertical shift