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Question 7 • Algebra II

Which graph represents y is equal to square root of x ?

Answer

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis are labeled at even integers from negative 8 to 8. A U-shaped curve opens upward. The curve reaches its lowest point at approximately (0 comma 0) and passes near (negative 2 comma 4) and (2 comma 4). Arrowheads indicate the graph continues upward beyond the displayed grid.

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis are labeled at even integers from negative 8 to 8. A curve begins at the origin and extends to the right. The curve passes near (3 comma 2) and (8 comma 3). Arrowheads indicate the graph continues beyond the displayed grid.

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis are labeled at even integers from negative 8 to 8. An S-shaped curve rises from left to right. The curve passes through approximately (negative 1 comma negative 5), (negative 1 comma negative 2), (0 comma 0), and (1 comma 2). It continues beyond the displayed grid at both ends.

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis are labeled at even integers from negative 8 to 8. An S-shaped curve rises from left to right. The curve passes through approximately (negative 8 comma negative 2), (0 comma negative 1), (1 comma 0), and (8 comma 2). It continues beyond the displayed grid at both ends.

Explanation

For y = √x, x must be nonnegative, so the graph starts at (0, 0) and extends to the right. It increases gradually: for example, it passes through (4, 2) and (9, 3). Choice B shows this shape; the other choices show a parabola or curves that extend into negative x-values.

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