Factoring
Factor: x2 + 7x + 12
(x+3)(x+4)
Simplify: i17
i
Simplify the square root of 40
2v(10)
Identify the vertex: y = (x - 3)2 + 5
(3,5)
Convert to standard form and identify a, b, and c
2x2 - 3 = -5x
2x2 + 5x - 3 = 0
a = 2; b = 5; c = -3
Factor and find the zeros: x2 - 9x + 20
(x-4)(x-5)
(4,0) and (5,0)
Simplify: (5-2i) + (3+i)
8-i
Simplify the square root of -72
6i*v(2)
Identify the vertex and axis of symmetry:
y = (x + 2)2 - 4
Vertex (-2,-4)
AoS: x = -2
Find the y-intercept: y = 3x2 - 4x + 7
(0,7)
Factor: 4x2 - 49
(2x+7)(2x-7)
Simplify: (3+2i)(3-2i)
13
Simplify the square root of 180
6v(5)
Find the y-intercept of:
y = (x - 4)2 + 2
(0,18)
Find the axis of symmetry: y = 2x2 - 8x + 3
x = 2
Factor: -x2 + 12x - 36
-(x-6)2
Simplify: (5-9i) - (-6+3i)
11-12i
Find the solution: 3x2 + 28 = 1
x = 3i, -3i
Describe all the transformations of the parent function for:
y = 2(x + 3)2 - 7
Left 3, Down 7, Vertically stretched by 2
Find the vertex: y = x2 - 6x + 11
(3,2)
Factor and find the solutions: 6x2 - x - 2
(3x-2)(2x+1)
(2/3, 0) and (-1/2, 0)
Simplify: (2+3i)2
-5+12i
Find the roots of: 2x2 - 10x + 3
5+v(19) and 5-v(19)
2 2
State the vertex and transformations, then graph the function.
-1/2(x - 4)2 + 2
Vertex: (4,2)
Right 4, Up 2, Vertically compressed by 1/2, reflected over x-axis
Find the vertex, axis of symmetry, and y-intercept of
y = -2x2 + 8x - 5
Vertex: (2,3)
AoS: x = 2
y-intercept (0,-5)