Practice Test

Question 5 • Algebra 2 with Probability

The graph of y is equal to square root of x is translated. The translation is defined by open paren x comma y close paren to open paren x minus 3 comma y plus 1 close paren Which is the graph of the translated image?

Answer

Image with description A coordinate plane has both the x and y axes labeled from negative 5 to 5. A smooth curve is plotted that originates from the point negative 1 comma negative 3, moves to the right, and passes through the point 2 comma negative 2.

Image with description A coordinate plane has both the x and y axes labeled from negative 5 to 5. A smooth curve is plotted that originates from the point negative 3 comma 1, moves to the right, and passes through the point 1 comma 3.

Image with description A coordinate plane has both the x and y axes labeled from negative 5 to 5. A smooth curve is plotted that originates from the point 3 comma negative 1, moves to the right, and passes through the point 4 comma 0.

Explanation

The graph of y = √x starts at (0, 0). The translation moves each point 3 units left and 1 unit up, so the starting point becomes (−3, 1). For example, (4, 2) on the original graph moves to (1, 3), matching the graph that starts at (−3, 1) and passes through (1, 3).

AI-written and checked against the verified answer.

More from this Course

Practice Test

Practice Test

Test