Factored Form Quadratic Equations

What are the green dots called?

• axis of symmetry
• vertex
• parabola
• roots or x-intercepts

Tags

CCSS.HSF-IF.C.7A

Tammy solved the equation $x^2-x-12=0$  
Select the factors of  $x^2-x-12$  

• (x+3)(x+4)

• (x-3)(x-4)

• (x+6)(x-2)
  

• (x-6)(x+2)

• (x+3)(x-4)

Tags

CCSS.HSA-REI.B.4B

Which of the following is the Factored Form of a quadratic function?

• f(x) = mx + b

• f(x) = ax² + bx + c

• f(x) = a(x - p)(x - q)

• f(x) = a(x - h)² + k

What are the x-intercepts of the parabola?

y = -3(x + 5)(x - 9)

• (-5, 0) and (9, 0)

• (5,0) and (-9, 0)

• (5, 0) and (9, 0)

• (-3, 0) and (5, 0)and (-9, 0)

Tags

CCSS.HSF-IF.C.7A

What are the x-intercepts of the parabola?

y = x(x - 4)

• (0, 0) and (4, 0)

• (1, 0) and (4, 0)

• (0, 4)

• (-4, 0) and (0, 0)

Tags

CCSS.HSF-IF.C.7A

State the direction of opening of the following: y = -(x+3)(x-2)

• Left
• Up
• Down
• Right

Tags

CCSS.HSF-IF.C.7A

Solve 2x² - 7x + 6 = 0 by factoring

• x = -3/2 and x = -2

• x = -3 and x = -2

• x = 3 and x = 2

• x = 3/2 and x = 2

Tags

CCSS.HSA-REI.B.4B

Solve .

x² + 4x - 40 = -8

• -10 & -4

• -4 & 10

• -8 & 4

• 8 & -4

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

Tags

CCSS.HSF-IF.C.7A

Write the equation in factored form y= 6x²-27x

• y= (6x+1)(x+3)

• y = 3x(2x-9)

• y = 6x(x-9)

• y = (3x-9)(2x+3)