To determine the equation of the square root function graphed by Rhianna, we need to analyze the typical form of a square root function, which is generally expressed as:
\[ y = a \sqrt{x - h} + k \]
where:
- \( (h, k) \) is the vertex of the graph,
- \( a \) determines the vertical stretch or compression,
- the positive or negative sign of \( a \) indicates the direction (opening upwards or downwards).
Based on the choices provided, if we assume that the graph starts from a certain point (the vertex), we can check each equation based on common transformations.
If the graph shifts to the right or left, or up or down based on the vertex, we can simplify the selections to find the correct transformation.
Given the options and without the image to refer to specifically, let's break down a couple of the choices to illustrate how you could identify the correct one:
- y = 2√(x + 4) – This indicates a vertical stretch of 2 and a horizontal shift left by 4.
- y = 2√(x - 4) – This indicates a vertical stretch of 2 and a horizontal shift right by 4.
- y = ½√(x - 4) – This indicates a vertical compression (by a factor of ½) and a horizontal shift right by 4.
- y = 12√(x - 4) – This indicates a vertical stretch (by a factor of 12) and a horizontal shift right by 4.
- y = 12√(x + 4) – This indicates a vertical stretch (by a factor of 12) and a horizontal shift left by 4.
To correctly match the function to the graph, you would look at key features such as the vertex point and whether the graph opens upwards or downwards.
Since I cannot see the graph, please analyze the characteristics you see in the image and pick the equation that matches the transformations displayed.
1 answer