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Describe the Transformation
Write the Function
Domain and Range
Find the zeros
Convert to Vertex Form
100
f(x) = x^2 + 8
What is translation up 8.
100
The quadratic function translated down 3
What is g(x) = x^2 - 3
100
f(x) = x^2 - 5
D:(-infinity, infinity) R: [-9, infinity)
100
x^2 + 8x + 12 = 0
What is x = -2, -6
100
f(x) = x^2 - 4x + 11
What is f(x) = (x-2)^2 + 7
200
f(x) = lx - 4l
What is translates to the right 4
200
The absolute value function translated to the left 7
What is f(x) = lx + 7l
200
h(x) = sqrt(x + 2)
D: [-2, infinity) R: [0, infinity)
200
h^2 - 4h - 60 = 0
What is h = -6, 10
200
x^2 + 16x + 71
What is g(x) = (x+8)^2 + 7
300
f(x) = 1/2x^3 - 5
What is horizontal stretch and down 5.
300
The cubic function reflected across the x-axis and translated down 5
What is h(x) = -x^3 - 5
300
g(x) = abs(x - 1)
D: (-infinity, infinity) R: [0, infinity)
300
2x^2 + 18x -20 = 0
What is x = -10, 1
300
h(x) = x^2 -12x + 46
What is h(x) = (x-6)^2 + 10
400
f(x) = -[Sqrt(x + 9)] - 2
What is reflection across x-axis, translates left 9 and down 2.
400
The square root function translated right 8 and down 10
What is f(x) = sqrt(x - 8) - 10
400
f(x) = (x + 2)^3 - 6
D: (-infinity, infinity) R: (-infinity, infinity)
400
4x^2 + 56x + 160 = 0
What is x = -10, -4
400
f(x) = 2x^2 + 36x + 170
What is f(x) = 2(x+9)^2 + 8
500
f(x) = -3lx - 5l - 6
What is reflection across x-axis, horizontal shrink, translates right 5 and down 6
500
The absolute value function reflected, horizontal shrink by 2, left 3, and up 4
What is g(x) = -2lx + 3l + 4
500
g(x) = -(x - 5)^2 + 7
D: (-infinity, infinity) R: [7, -infinity)
500
Find the zeros AND vertex of x^2 - 2x + 35 = 0
What is x = -5, 7 and vertex (1, 34)
500
g(x) = -x^2 - 14x - 59
What is g(x) = -(x+7)^2 + 10