The graph of $y = \sqrt { x }$ is shifted 4 units to the left. Then the graph is shifted 9 units upward.
A) $y = \sqrt { x + 9 } + 4$
B) $y = 9 \sqrt { x + 4 }$
C) $y = \sqrt { x + 4 } + 9$
D) $y = \sqrt { x - 4 } + 9$

Question

Quizplus · Accepted Answer

Shifting the graph of $y = \sqrt{x}$ 4 units to the left means replacing $x$ with $x + 4$, resulting in $y = \sqrt{x + 4}$. Then, shifting it 9 units upward adds 9 to the function, resulting in $y = \sqrt{x + 4} + 9$.

The Graph Of y=xy = \sqrt { x }y=x​ Is Shifted 4 Units to the Left

The Graph Of $y = \sqrt { x }$ Is Shifted 4 Units to the Left