Graphing Radical Functions — Quiz

Question 8 • Algebra 2 with Probability

Which graph represents y is equal to square root of x minus 4 end root ?

Answer

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from (4 comma 0) and passes through points (5 comma 1), and (8 comma 2) in the 1st quadrant.

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from (0 comma negative 4) and passes through points (4 comma negative 2), and (8 comma negative 1) in the 4th quadrant.

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve opens to the right in quadrants 1 and 2. The origin of the curve is at (negative 4 comma 0) and the curve passes through (5 comma 3).

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from (0 comma 4) and passes through points (1 comma 5), and (4 comma 6) in the 1st quadrant.

Explanation

For y = √(x − 4), the graph of y = √x is shifted 4 units to the right, so it begins at (4, 0). It also passes through (5, 1), since √(5 − 4) = 1, and (8, 2), since √(8 − 4) = 2. These points match choice A.

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