Question

Question Which square root equation is represented by the graph? (1 point) Responses y=2x−3−−−−√ y is equal to 2 square root of x minus 3 end root y=2x+6−−−−√ y is equal to 2 square root of x plus 6 end root y=2x+9−−−−√ y is equal to 2 square root of x plus 9 end root y=2x−9−−−−√

Answer 1

To determine which square root equation is represented by the graph, we should analyze the format of each answer choice. Square root equations typically have the form:

\[ y = a\sqrt{x} + b \]

Where:
- \( a \) controls the vertical stretch or compression,
- \( b \) is the vertical shift.

Given the choices:

1. \( y = 2\sqrt{x} - 3 \)
2. \( y = 2\sqrt{x} + 6 \)
3. \( y = 2\sqrt{x} + 9 \)
4. \( y = 2\sqrt{x} - 9 \)

To find which equation fits the graph:

1. Identify the "starting point" of the graph (the value of \( y \) when \( x = 0 \)) from the graph.
2. Check the vertical stretch/shrink represented by the coefficient of \( \sqrt{x} \) (which is 2 in this case).
3. Determine if the graph is shifted up or down based on the value added or subtracted.

If you can see the graph, assess it by applying these steps to match it with one of the equations provided.

Without the visual representation of the graph, it's impossible to provide the exact equation. If you can share more details about the graph (such as the coordinates of the starting point, or general shape), I can help pinpoint the right square root equation choice.