Question

The function g(x) is defined by g(x)+-5f(x)+4. What three transformations have occurred to the graph of f to produce the graph of g? Specify both the transformations and their order.

Answer 1

a reflection across the x axis

a vertical stretch by a factor of 5

a vertical translation 4 units up

Answer 2

Three transformations:

1) Vertical stretch by 5 units.

2) Reflection over the x-axis.

3) Translation of 4 units up.

Given that g(x) = -5f(x) + 4.

First: 5 is multiplied to f(x). It means f vertically stretched by 5.

Second: For the negative infront of 5f(x) means f reflected over the x-axis.

Third: +4 means f moved 4 units upwards.

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