Question

Please

Describe the graph of each equation as a transformation of the graph y=5^x.


1. y=3(5)^x
2. y=1/3 5^x
3. y=-5^x

Answer 1

1. The graph of y=3(5)^x is a vertical stretch of the graph of y=5^x by a factor of 3. The shape of the curve remains the same, but every y-value is multiplied by 3.
2. The graph of y=1/3 5^x is a vertical compression of the graph of y=5^x by a factor of 1/3. The shape of the curve remains the same, but every y-value is divided by 3.
3. The graph of y=-5^x is a reflection of the graph of y=5^x across the x-axis, followed by a vertical stretch by a factor of 5. The shape of the curve remains the same, but every y-value is multiplied by -5.