Describe the Transformation
f(x) = x2 + 8
Translation up 8.
The quadratic function translated down 3
g(x) = x2 - 3
f(x) = x2 - 5
D:(-infinity, infinity) R: [-5, infinity)
f(x)=x
Linear
1/2+1/3-1/4
1/6
f(x) = lx - 4l
Translates to the right 4
The absolute value function translated to the left 7
f(x) = lx + 7l
h(x) = √(x + 2)
D: (-2, infinity) R: [0, infinity)
f(x)=x2
Quadratic
There is a right triangle. One leg is 7 in and the hypotenuse is 18 in. What is the length of missing side?
16.58 inches
f(x) = 1/2(x)3 - 5
What is horizontal stretch/compression 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) = |x - 1|
D: (-infinity, infinity) R: [0, infinity)
f(x)=|x|
Absolute Value
What is Ms.Martyn's dogs names.
Buster and Bella
f(x) = -√(x + 9) - 2
Reflection across x-axis/upside down, translates left 9 and down 2.
The square root function translated right 8 and down 10
f(x) = √(x - 8) - 10
f(x) = (x + 2)3 - 6
D: (-infinity, infinity) R: (-infinity, infinity)
Square Root
f(x)=√x
How many more school days are left before spring break
6 days
f(x) = -3lx - 5l - 6
Reflection across x-axis, vertical stretch by 3, translates right 5 and down 6
The absolute value function reflected, horizontal shrink by 2, left 3, and up 4
g(x) = -2lx + 3l + 4
g(x) = -(x - 5)2 + 7
D: (-infinity, infinity) R: (-infinity, 7]
Cubic
f(x)=x3
Simplify
(3x5-7x3+2x-1)(3x-2)
9x6-6x5-21x4+14x3+6x2-7x+2