When the function y = 2x is changed to y = 2(2x), the graph is shifted one unit. What is the direction of the shift
2 answers:
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First, determine y-intercept and x-intercept of the line
# y-intercept (when x = 0)
y = 2x - 3
y = 2(0) - 3
y = 0 - 3
y = -3
# x-intercept (when y = 0)
y = 2x - 3
0 = 2x - 3
2x - 3 = 0
2x = 3
x = 3/2
x = 1.5
Second, put y-intercept and x-intercept on cartesian plane, then connect the intercepts
See image attached
# y-intercept (when x = 0)
y = 2x - 3
y = 2(0) - 3
y = 0 - 3
y = -3
# x-intercept (when y = 0)
y = 2x - 3
0 = 2x - 3
2x - 3 = 0
2x = 3
x = 3/2
x = 1.5
Second, put y-intercept and x-intercept on cartesian plane, then connect the intercepts
See image attached