Write an equation for a function that has a graph with the given characteristics.
-The shape of $y = \sqrt { x }$ is shifted 6 units to the left. Then the graph is shifted 8 units upward.
A) f(x)= $\sqrt { x + 8 } + 6$
B) f(x)= $\sqrt { x + 6 } + 8$
C) f(x)= $8 \sqrt { x + 6 }$
D) f(x)= $\sqrt { x - 6 } + 8$

Question

Write an equation for a function that has a graph with the given characteristics.
-The shape of $y = \sqrt { x }$ is shifted 6 units to the left. Then the graph is shifted 8 units upward.
A)  f(x)=  $\sqrt { x + 8 } + 6$
B)  f(x)= $\sqrt { x + 6 } + 8$
C)  f(x)=  $8 \sqrt { x + 6 }$
D)  f(x)=  $\sqrt { x - 6 } + 8$

Quizplus · Accepted Answer

The correct transformation of $y = \sqrt{x}$ shifted 6 units to the left and then 8 units upward is represented by $f(x) = \sqrt{x + 6} + 8$. Shifting to the left involves adding inside the square root, and shifting upward involves adding outside the square root.

Write an Equation for a Function That Has a Graph y=xy = \sqrt { x }y=x​

Write an Equation for a Function That Has a Graph $y = \sqrt { x }$