Describe the Transformation
f(x) = 2x2 + 8
What is vertical expansion by 2 and translation up 8.
The quadratic function reflected across the x-axis and translated down 3
What is g(x) = -x2 - 3
f(x) = x2 - 5
D:(-infinity, infinity) R: [-5, infinity)
All the x-values of the functions
What is Domain
a ____________ is simple or basic function in a family of functions
What is Parent Function
f(x) = -lx - 4l
What is reflection across the x-axis and translates to the right 4
The cube root function reflected across the x-axis, vertically expanded by 6, translated left 2, and up 10
What is f(x) = -6*cuberoot(x+2) + 10
h(x) = sqrt(x + 2)
D: [-2, infinity) R: [0, infinity)
The critical point on a cubic or cube root function
What is the point of inflection?
Travis Kelce's number (bonus 100 points for writing it as an expression using the numbers 2, 6, and 9.)
What is 87 or 92 + 6
f(x) = (5x+15)3 - 2
What is horizontal compression by 1/5, translates left 3 and down 2.
The cubic function reflected across the y-axis and translated left 6
What is h(x) = (-(x + 6))3 or h(x) = (-x - 6)3
g(x) = -|x - 1| + 5
D: (-infinity, infinity) R: (-infinity, 5]
A point that touches the x-axis
What is x-intercepts
The singer of "Party in the USA"
Who is Miley Cyrus
f(x) = (-x - 9)3
What is reflection across y-axis and translates left 9
The square root function horizontally compressed by 1/4, right 8 and down 10
What is f(x) = sqrt(4(x - 8)) - 10 or f(x) = sqrt(4x - 32) - 10
f(x) = (x + 2)3 - 6
D: (-infinity, infinity) R: (-infinity, infinity)
All the y-values of the function
What is the range?
My Little Pony has 6 "mane" characters: Applejack, Rarity, Twilight, Rainbow Dash, Fluttershy, and this pony.
Who is Pinkie Pie?
f(x) = -(1/2x - 7)3 - 6
What is reflection across x-axis, horizontal expansion by a factor of 2, translates right 14 and down 6
Given the function h(x) = (x - 5)2 + 4, write the new function g(x) if h(x) is translated 6 units to the left, 5 units up, and vertically expanded by 3.
What is g(x) = 3(x +1)2 + 9
g(x) = - sqrt(x - 5) + 7
D: [5, infinity) R: (-infinity, 7]
Name all 10 transformations, movements or directions of functions.
What is Left, Right, Up, Down, HC, HE, VC, VE, x-axis reflection, y-axis reflection.
The name of Ford's electric SUV based on the Mustang.
What is the Mach-E?