Question

The values on both axes range from negative 4 to 4 in increments of 1. The dotted line, labeled Option 1, begins in quadrant 3 sloping upward from left to right, passes through quadrant 4, and then rises through quadrant 1. The dotted line passes through left parenthesis negative 3 comma negative 4 right parenthesis and left parenthesis 4 comma 3 right parenthesis. The dashed line, labeled Option 2, begins in quadrant 2 sloping downward from left to right, passes through quadrant 3, and then descends through quadrant 4. The dashed line passes through left parenthesis negative 4 comma 3 right parenthesis and left parenthesis 3 comma negative 4 right parenthesis. The dot-dashed line, labeled Option 3, begins in quadrant 2 sloping downward from left to right, passes through quadrant 1, and then descends through quadrant 4. The dot-dashed line passes through left parenthesis negative 3 comma 4 right parenthesis and left parenthesis 4 comma negative 3 right parenthesis. The solid line, labeled Option 4 f left parenthesis x right parenthesis equals to x plus 1, begins in quadrant 3 sloping upward from left to right, passes through quadrant 2, and then rises through quadrant 1. The solid line passes through left parenthesis negative 4 comma negative 3 right parenthesis and left parenthesis 3 comma 4 right parenthesis.
Given the graph of f(x) = x + 1, which option is the graph of f (-x)?
(1 point)
• The graph of f (-x) is option 4.
• The graph of f (-x) is option 3.
• The graph of f (-x) is option 2.
• The graph of f (-x) is option 1.

Answer 1

f(-x) = -x + 1, a line with slope -1 and y-intercept 1. Option 3 passes through (-3, 4) and (4, -3) which gives slope (-3-4)/(4-(-3)) = -1 and y-intercept 1, so the correct choice is Option 3.