Question

In the following square root function:



What are the coordinates of the point farthest to the left?

x = ____________

y = ____________

Graph the square root function →

Answer 1

To determine the coordinates of the point farthest to the left for a square root function, we first need to analyze the general form of a square root function, which is typically expressed as:

\[ y = a \sqrt{x - h} + k \]

Where:
- \( (h, k) \) is the vertex of the function.
- \( a \) affects the vertically stretching of the graph.

For the standard square root function \( y = \sqrt{x} \), the point farthest to the left occurs when \( x \) is at its minimum value. In this case, the square root function is defined for \( x \geq 0 \). Therefore, the point farthest to the left is at:

\[ x = 0 \]

To find the corresponding \( y \) value:

\[ y = \sqrt{0} = 0 \]

Thus, the coordinates of the point farthest to the left are:

- **x = 0**
- **y = 0**

The coordinates of the point farthest to the left are:

\[
x = 0, \quad y = 0
\]

If you are interested in a specific form of a square root function or an example you have in mind, please provide that equation, and I can give you the coordinates based on that.