Write the equation of the graph after the indicated transformation(s).
-The graph of $y = x ^ { 2 }$ is shifted 4 units to the right. This graph is then vertically stretched by a factor of 6 and reflected across the $x$-axis. Finally, the graph is shifted 8 units upward.
A) $y = - 6 ( x - 4 ) ^ { 2 } - 8$
B) $y = - 6 ( x + 8 ) ^ { 2 } + 4$
C) $y = - 6 ( x - 4 ) ^ { 2 } + 8$
D) $y = - 6 ( x + 4 ) ^ { 2 } + 8$

Question

Quizplus · Accepted Answer

The correct transformations applied to $y = x^2$ are: shifted 4 units to the right $(x - 4)^2$, vertically stretched by a factor of 6 $(6(x - 4)^2)$, reflected across the $x$-axis $(-6(x - 4)^2)$, and shifted 8 units upward $(-6(x - 4)^2 + 8)$.

Write the Equation of the Graph After the Indicated Transformation(s) y=x2y = x ^ { 2 }y=x2

Write the Equation of the Graph After the Indicated Transformation(s) $y = x ^ { 2 }$