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Question at position 23
If y = 4x + 3 were changed to y = -4x + 3, how would the graph of the new function compare with the original?

Answer 1

If \( y = 4x + 3 \) is changed to \( y = -4x + 3 \), the graph of the new function would be a reflection of the original graph across the y-axis. This change in the sign of the coefficient of x (from positive to negative) affects the slope of the line, resulting in a line that slopes downward instead of upward.

In summary, the new function will have the same y-intercept (3) but will slope downwards instead of upwards.