Question

Please help! Correctly match the descriptions with the given transformation.

Answer 1

The transformations are:

• f(x) + 5.5 → translation of 5.5 units upwards.
• 5.5*f(x) → vertical dilation of scale factor 5.5
• f(x + 5.5) → translation of 5.5 units to the left.

How to define each of the transformations?

The transformations that appear here are:

Vertical dilation:

For a function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x)

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.If N is negative, the shift is downwards.

so:

f(x) + 5.5 is a translation of 5.5 units upwards.

5.5*f(x) is a vertical dilation of scale factor 5.5

f(x + 5.5) is a translation of 5.5 units to the left.

Learn more about transformations:

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