Verbal Transformations
Arthur sketches a parabola with a vertex at the (2,0). What is the equation of Arthur's function?
y=(x-2)^2
G(x)=(x-2)^2
2 units right
The number that represents the horizontal shift.
f(x)=6(x-4)^2+2
4
y=ax^2+bx+c
This form is called ___.
Standard Form.
What is the most popular sport to watch in America?
FOOTBALL
Kariany sketches a parabola with a vertex at the (2,0) and has a stretch with a factor of 3. What is the equation of Kariany's function?
y=3(x-2)^2
i(x)=-(x+4)^2
Reflected across the x-axis and 4 units left.
The number that represents the stretch.
f(x)=6(x-4)^2+2
6
Vertex Form is also called _______ Form.
What is the most requested tattoo: "tiny" ones, a heart, animals, infinity symbol, a name
Heart Tattoos are the most requested!
Nathan sketches a parabola with a vertex at the (2,0) that opens downward, and has a stretch with a factor of 3. What is the equation of Nathan's function?
y=-3(x-2)^2
f(x)=3(x-2)^2
Stretched by a factor of 3 and right 2 units.
The number that represents the vertical shift.
y=2(x+7)^2+15
15
Vertex Form for a Quadratic.
y=a(x-h)^2+k
Top Lifetime Grossing Movie:
Star Wars: Episode VII - The Force Awakens, Avatar, Avengers: Endgame, or Titanic
#1 Avatar $2,847,246,203 (that's billions!)
#2 Avengers: Endgame, #3 Titanic, #4 Star Wars
Kylie sketches a parabola with a vertex at the (-4,0) that opens downward. What is the equation of Kylie's function?
y=-(x+4)^2
t(x)=0.5(x-2)^2
Compressed by a factor of 0.5 and right 2.
The number that represents the stretch/compression:
f(x)=3x^2-4x+1
3
This form is called ___.
y=a(x-e)(x-f)
Factored Form
"Greatest Rapper of All Time" according to the first Google search site.
Jay-Z
George transforms a quadratic function by stretching a factor of 2, shifting it left 1 unit, and then 20 units down. What is the equation of George's transformed function?
y=2(x+1)^2-20
s(x)=-3(x-4)^2
Reflected across the x-axis, stretched by a factor of 3, and right 4.
The vertex of
y=-1/3(x-2)^2+8
(2,8)
____ Form is easiest to graph because ___ and ___ are given.
Vertex (Graphing)
The vertex is given and the shape & direction is given.
According to Forbes, who was the richest person in the US in 2021:
Elon Musk (Tesla), Mark Zuckerberg (Facebook), Jeff Bezos (Amazon), or Bill Gates (Microsoft)
#1 Jeff Bezos $177 billion
#2 Elon Musk $151, #3 Bill Gates $124, #4 Mark Zuckerberg $97