Find the Vertex
Quadratics
Transformations
Imaginary Numbers
Complex Numbers
100
Find the vertex of y = x^2 + 2x + 1
What is (-1, -2)
100
What are the x-intercepts? (write as ordered pairs) y=-3x(x + 2)
What is (0, 0), (-2, 0)
100
Transformations for quadratic functions will always be in this form.
What is vertex form
100
Simplify i^211
What is -i?
100
(3 + 2i) + (1 + 7i)
What is 4 + 9i
200
Find the vertex of 2x^2 - 8x + 3
What is (2, -5)
200
During a football game a punter kicked a 41 yard punt. The path of the football can be modeled by y=-0.035x^2 + 1.4x + 1 where x is the distance in yards the football is kicked and y is the height in yards the football is kicked. Does the graph have a maximum or minimum?
What is maximum
200
Name the transformations of the y = -1/2(x - 2) + 3
What is reflection over the x-axis, vertical compression, horizontal shift right 2, and vertical shift up 3.
200
Simplify sqrt(-25) + sqrt(-81)
What is 14i
200
(3 + 2i)(1 + 7i)
What is -11 + 23i
300
Find the vertex of (x - 2)(x - 4)
What is (3, -1)
300
Factor by grouping: y = 2x^2 + 8x + 6
What is (2x + 6)(x + 1)
300
Write the equation of the line in vertex form, given the following transformation: -vertical compression by a factor of 4 -horizontal shift left 7 units -vertical shift down 5 units
What is y=1/4 (x+7)^2 - 5
300
Simplify i^23 + i^18
What is -i
300
(1 + i)^2
What is 0 + 2i or 2i
400
Find the vertex of -3x(x + 2)
What is (1, -3)
400
During a football game a punter kicked a 41 yard punt. The path of the football can be modeled by y=-0.035x^2 + 1.4x + 1 where x is the distance in yards the football is kicked and y is the height in yards the football is kicked. What is the vertex of this function?
What is (20, 15)
400
Name the transformations of the following function: y = x^2 + 4x + 4
What is horizontal shift left 2 units.
400
Simplify i^16 - i^6 + 2i^5 + i^3
What is i
400
(2 + 3i) / (4 - 5i)
What is -7 + 22i / 41
500
Find the vertex of (5x + 3)(x -4)
What is (1.7, -26.45)
500
The path that a diver follows is given by y=-0.4(x-4)^2 + 14 where x is the horizontal distance (in feet) from the edge of the dividng board and y is the height (in feet). What is the maximum height of the diver?
What is 14
500
Name the transformation of: y = -2(x + 2)(x - 4)
What is reflection over the x-axis, vertical stretch, horizontal shift right 1, and vertical shift up 18 units.
500
Consider this: the discriminant is less than zero. Why are there no roots?
What is the roots are imaginary
500
3 / (2 + i)
What is 6 - 3i / 5
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