Transformations
Name the transformations of the Parent Function y=x:
y=3x
Vertical Stretch by 3
(Horizontal Shrink by 1/3)
Happy hits a golf ball and it follows the projectile motion represented by h(t) = -3t2+30t, where h is the height of the ball in yards after t seconds.
What high was the golf ball at its highest point?
75 feet
Find the vertex of the quadratic:
y=3(x-1)2+2
(1,2)
Name the AOS:
y=x2+4x-1
x=-2
Who was the second President of the United States?
John Adams
Name the transformations of the Parent Function y=x:
y=1/2|x|+4
Vertical shrink by 1/2, shift up 4
Happy hits a golf ball and it follows the projectile motion represented by h(t) = -3t2+30t, where h is the height of the ball in yards after t seconds.
How long was the ball in the air?
10 seconds
Find the vertex of the quadratic:
y=(x+2)(x-4)
(1,-9)
What are the x-intercepts:
y=(x-1)(x+4)
(-4,0) and (1,0)
The Famous author who wrote "It", "The Shining" and "Pet Sematary"
Steven King
Name the transformations of the Parent Function y=x2:
y=-(x-2)2
Reflection over the x-axis, translation right 2
We throw an object upward from the top of a 1200ft tall building. The height of the object, (measured in feet) t seconds after we threw it is
h(t) = -16(t+5)(t-15)
Find the maximum height of the object.
1600 Feet
Find the vertex of the quadratic:
y=3x2+5
(0,5)
Name the AOS:
y=2x2+7
x=0
The form of currency in Japan is called this:
Yen
Name the transformations of the Parent Function y=x2:
y=4(x+3)2-4
Vertical stretch by 4, translation left 3, translation down 4
We throw an object upward from the top of a 1200ft tall building. The height of the object, (measured in feet) t seconds after we threw it is
h(t) = -16(t+5)(t-15)
Find the height of the object 3 seconds after it was thrown.
1536 feet
Find the vertex of the quadratic:
y=2x2-8x+5
(2,-3)
What is the y-intercept?
y=3x2+x-7
(0,-7)
The only player in NFL history to record over 200 sacks
Bruce Smith
Name the transformations of the Parent Function y=sin(X)
y=2sin(3x-1)
The path of a diver's dive is modeled by the function d(t)=0.8x2-6x+5 where d(t) is the depth of the diver in feet after t seconds.
From what height did the diver initially jump from?
5 feet
Find the vertex of the quadratic:
y=3x(x-7)
(3.5,-36.75)
y=-2(x-3)2+2
AOS:
y-int:
Minimum/Maximum value:
AOS: x=3
y-int: (0,-16)
Maximum: y=2
The highest selling album of all time was from this person:
Michael Jackson (Thriller)