Transformations
The parent function for f(x) = -(x-2)2 +5 and the transformation steps.
Parent function is y = x2 (or quadratic).
Transformations: Horizontal shift right 2, vertical reflection over the x-axis and vertical shift up 5.
If a t-ball has a trajectory represented by the following function, where t is the time in seconds and h(t) is the height in feet, what is the ball's maximum height and at what time does this occur?
h(t)=-16(t-1)2+5
The ball's maximum height is 5 feet and occurs after 1 second.
Simplify:
sqrt(486x^16
9x^8sqrt5
Simpliify:
sqrt(-294
7isqrt6
The symbol that represents
sqrt(-1
i
The parent function for f(x) =
y=2/3abs(-x
and the transformation steps.
Parent function is the absolute value function or
y=absx
Transformations: In any order: horizontal reflection over the y-axis and vertical shrink by a factor of
2/3
A little boy holds a penny TWO FEET above the top of a cliff and then tosses it. The equation that represents the trajectory of the penny is h(t) = -2x2+8x+502.
The height of the cliff, and the time the penny reaches its maximum height. Don't care how high the penny went.
The cliff is 500 feet high and the time the penny reaches its maximum height is 2 seconds.
Simplify
-sqrt(256x^25
-16x^12sqrtx
Simplify:
(3+7i)(3-7i)
58
The first and last thing you should do in a transformation (in that order).
1st Horizontal Shift Left or Right
Last Vertical Shift Up or Down