Write an equation for a function that has a graph with the given characteristics.
-The shape of y=|x| is vertically stretched by a factor of 6.2 . This graph is then reflected across the x -axis. Finally, the graph is shifted 0.15 units downward.
A) $f ( x ) = 6.2 | x | - 0.15$
B) $f ( x ) = \left. 6.2 \right| _ { x } - 0.15 \mid$
C) $f ( x ) = 6.2 | - x | - 0.15$
D) $f ( x ) = - 6.2 | x | - 0.15$

Question

Write an equation for a function that has a graph with the given characteristics.
-The shape of  y=|x|  is vertically stretched by a factor of  6.2 . This graph is then reflected across the  x -axis. Finally, the graph is shifted  0.15  units downward.
A) $f ( x ) = 6.2 | x | - 0.15$
B) $f ( x ) = \left. 6.2 \right| _ { x } - 0.15 \mid$
C) $f ( x ) = 6.2 | - x | - 0.15$
D) $f ( x ) = - 6.2 | x | - 0.15$

Quizplus · Accepted Answer

The correct transformation steps are: vertically stretch by a factor of 6.2, reflect across the x-axis (which inverts the sign of the function), and shift downward by 0.15 units. This results in $f(x) = -6.2|x| - 0.15$.

Write an Equation for a Function That Has a Graph f(x)=6.2∣x∣−0.15f ( x ) = 6.2 | x | - 0.15f(x)=6.2∣x∣−0.15

Write an Equation for a Function That Has a Graph $f ( x ) = 6.2 | x | - 0.15$