$$ 1 \leftarrow $$ Which of the following functions las a graph that is the graph of $$ y=\sqrt{x} $$ shifted down 4 units? Choose the correct answer below $$ \begin{array}{l} ext { O } y=\sqrt{x+4} \ y=\sqrt{x-4}\end{array} $$

Question

$$ 1 \leftarrow $$ Which of the following functions las a graph that is the graph of $$ y=\sqrt{x} $$ shifted down 4 units? Choose the correct answer below $$ \begin{array}{l}	ext { O } y=\sqrt{x+4} \ y=\sqrt{x-4}\end{array} $$

UpStudy AI · Accepted Answer

To find the function that represents the graph of $$ y = \sqrt{x} $$ shifted down 4 units, we need to understand how vertical shifts affect the function.

1. **Understanding Vertical Shifts**: 
   - Shifting a function down by $$ k $$ units means we subtract $$ k $$ from the function. 
   - Therefore, to shift $$ y = \sqrt{x} $$ down 4 units, we would write:
   $$
   y = \sqrt{x} - 4
   $$

2. **Analyzing the Given Options**:
   - The first option is $$ y = \sqrt{x + 4} $$. This represents a shift to the left by 4 units, not down.
   - The second option is $$ y = \sqrt{x - 4} $$. This represents a shift to the right by 4 units, not down.

Since neither of the provided options represents the correct transformation, the correct function for $$ y = \sqrt{x} $$ shifted down 4 units is actually $$ y = \sqrt{x} - 4 $$, which is not listed among the options.

Thus, the answer is that neither option is correct.
Neither option correctly shifts the graph of $$ y = \sqrt{x} $$ down by 4 units. The correct function would be $$ y = \sqrt{x} - 4 $$.

\( 1 \leftarrow \) Which of the following functions las a graph that is the graph of \( y=\sqrt{x} \) shifted down 4 units? Choose the correct answer below \( \begin{array}{l}\text { O } y=\sqrt{x+4} \\ y=\sqrt{x-4}\end{array} \)

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Algebra Questions