Question

Use the image to answer the question.

Graph: Two parabolas on a coordinate plane. A solid orange curve and a dotted blue curve. X-axis negative 9 to 4, Y-axis negative 1 to 9.
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Which of the following best describes the transformation from the original function (solid line) to the new function (dotted line)?

(1 point)

Both functions have the same y-intercept.

The function was translated 5 units to the right but is otherwise the same.

The translated function has a negative x-intercept.

The new function is wider by a factor of 2.

Answer 1

The function was translated 5 units to the right but is otherwise the same.

Reason: the dotted parabola has the same shape and orientation as the solid one but every feature (vertex and intercepts) is shifted 5 units to the right, indicating a horizontal translation by 5.