Asked by Ilaria Catalani on Jun 04, 2024
Verified
Identify the transformation of f(x) =x2f ( x ) = x ^ { 2 }f(x) =x2 to obtain h(x) =(x−6) 2+9h ( x ) = ( x - 6 ) ^ { 2 } + 9h(x) =(x−6) 2+9 .
A) horizontal shift 9 units to the left and a vertical shift 6 units downward
B) horizontal shift 6 units to the right and a vertical shift 9 units upward
C) horizontal shift 6 units to the left and a vertical shift 9 units upward
D) horizontal shift 9 units to the right and a vertical shift 6 units upward
E) horizontal shift 6 units to the left and a vertical shift 9 units downward
Horizontal Shift
A movement of a graph in the left or right direction along the horizontal axis.
Vertical Shift
A transformation that moves a graph up or down the y-axis, changing the equation's output but not its input.
- Perform function transformations on basic functions like linear, quadratic, and absolute value functions.
Verified Answer
ML
Michelle LopezJun 08, 2024
Final Answer :
B
Explanation :
The transformation involves a horizontal shift 6 units to the right, indicated by x−6x - 6x−6 , and a vertical shift 9 units upward, indicated by +9+9+9 .
Learning Objectives
- Perform function transformations on basic functions like linear, quadratic, and absolute value functions.