Calculus 1

Explain how the following graphs are obtained from the graph of y=f(x). (Select all that apply.)

(a) y=7f(x)
shifts 7 units upward
shifts 7 units downward
shifts 7 units to the right
shifts 7 units to the left
stretch the graph vertically by a factor of 7
shrink the graph vertically by a factor of 7
stretch the graph horizontally by a factor of 7
shrink the graph horizontally by a factor of 7
reflect about the x-axis
reflect about the origin

(b) y= f(x-4)
shift 4 units upward
shift 4 units downward
shift 4 units to the right
shift 4 units to the left
stretch the graph vertically by a factor of 4
shrink the graph vertically by a factor of 4
stretch the graph horizontally by a factor of 4
shrink the graph horizontally by a factor of 4
reflect about the x-axis
reflect about the origin

(c) y= -f(x)
shift 1 unit upward
shift 1 unit downward
shift 1 unit to the right
shift 1 unit to the left
stretch the graph vertically by a factor of 1
shrink the graph vertically by a factor of 1
stretch the graph horizontally by a factor of 1
shrink the graph horizontally by a factor of 1
reflect about the x-axis
reflect about the origin

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  1. (a) stretch the graph vertically by a factor of 7

    (b) shift 4 units to the right

    (c) reflect about the x-axis

    You offered no ideas here or on your next post. If you truly are lost, you will do well to review your text, and google examples and explanations.

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