Question

Which of the following best describes the transformation from the original function f(x)=2x+1
to the new function f(x)=5x+1
? (1 point)
Responses

a vertical translation where the new function is higher than its original position on the y-axis but otherwise is the same
a vertical translation where the new function is higher than its original position on the y -axis but otherwise is the same

a vertical stretch where the new function is farther from the x-axis but otherwise is the same
a vertical stretch where the new function is farther from the x -axis but otherwise is the same

a horizontal translation where the new function is farther to the right than its original position but otherwise is the same
a horizontal translation where the new function is farther to the right than its original position but otherwise is the same

a vertical compression where the new function is closer to the x-axis but otherwise is the same

Answer 1

a vertical stretch where the new function is farther from the x-axis but otherwise is the same

Explanation: the y-intercept stays 1, but the slope increases from 2 to 5, making the graph steeper (a vertical stretch).