Describe the Transformation
f(x) = x2 + 8
What is translation up 8?
The quadratic function translated down 3
What is g(x) = x2 - 3?
f(x) = x2 - 5
What is D: all real numbers R: y > (or =) 5?
x2 + 8x + 12 = 0
What is x = -2, -6?
f(x) = x2 + 6
What is a minimum at (0, 6)?
f(x) = lx - 4l
What is translates to the right 4?
The absolute value function translated to the left 7
What is f(x) = lx + 7l?
h(x) = sqrt(x + 2)
What is D: x>=(-2), R: y>=0?
h2 - 4h - 60 = 0
What is h = -6, 10?
y = -(x + 3)2
What is a maximum at (-3, 0)?
f(x) = 1/2x3 - 5
What is vertical shrink by 1/2 and down 5?
The cubic function reflected across the x-axis and translated down 5
What is h(x) = -x3 - 5?
g(x) = abs(x - 1)
What is D: all real numbers, R: y>=0?
2x2 + 18x -20 = 0
What is x = -10, 1?
h(x) = 3|x - 2| + 4
What is a minimum at (2, 4)?
f(x) = -Sqrt(x + 9) - 2
What is reflection across x-axis, translates left 9 and down 2?
The square root function translated right 8 and down 10
What is f(x) = sqrt(x - 8) - 10?
f(x) = (x + 2)3 - 6
What is D: all real numbers, R: all real numbers?
4x2 + 56x + 160 = 0
What is x = -10, -4?
f(x) = 4x3 + 6
What is no max or min?
f(x) = -3lx - 5l - 6
What is reflection across x-axis, vertical stretch by 3, translates right 5 and down 6?
The absolute value function reflected, vertical stretch by 2, left 3, and up 4
What is g(x) = -2lx + 3l + 4?
g(x) = -(x - 5)2 + 7
What is D: all real numbers, R: y<=7?
Find the zeros AND vertex of x2 - 2x - 35 = 0
What is x = -5, 7 and vertex (1, 34)?
f(x) = -sqrt(x + 3) - 2
What is a maximum at (-3, -2)?