Factoring to Calculate the Roots
Factor to calculate the roots to the following quadratic:
x2 - 5x - 14 = 0
x = 7 x = -2
Calculate the roots to the quadratic by completing the square.
x2 + 6x + 8 = 0
x = -2 x = -4
Calculate the vertex by completing the square.
x2 - 8x + 15 = 0
(4,1)
What is the y-intercept for the quadratic function?
x2 + 5x - 12 = y
y-intercept = -12
Factor to calculate the roots to the following quadratic:
x2 + 3x + 2 = 0
x = -2 x = -1
Calculate the roots to the quadratic by completing the square.
x2 - 6x = -5
x = 1 x = 5
Calculate the vertex by completing the square.
y = x2 - 2x
(1,-1)
What are the roots the quadratic function?
x2 - 6x + 12 = 0
no roots
Factor to calculate the roots to the following quadratic:
x2 - 6x + 5 = 0
x = 5 x = 1
Calculate the roots to the quadratic by completing the square.
x2 - 2x - 24 = 0
x = -4 x = 6
Calculate the vertex of the quadratic by completing the square.
x2 + 10x + 16 = 0
(-5, -9)
What is the vertex for the quadratic function?
x2 - 5x - 14 = 0
(2.5, -20.25)
Factor to calculate the roots to the following quadratic:
x2 - 6x - 27 = 0
x = 9 x = -3
Calculate the roots to the quadratic by completing the square.
x2 + 10x +16 = 0
x = -2 x = -8
Calculate the vertex of the quadratic by completing the square.
x2 + 2x - 6 = 0
(-1, -7)
What is the line of symmetry for the parabola?
2x2 + 4x - 8 = 0
x = -1
Factor to calculate the roots to the following quadratic:
2x2 - 5x - 3 = 0
x = -1/2 x = 3
Calculate the roots to the quadratic by completing the square.
2x2 - 8x = 10
x = 5 x = -1
Calculate the vertex of the quadratic by completing the square.
x2 - 4x = -18
(2, 14)
Calculate the y-intercept, vertex, roots, and line of symmetry for the quadratic.
x2 + 2x - 6 = 0
y-intercept: -6
vertex: (-1, -7)
roots: -3.646 and 1.646
line of symmetry: x = -1