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GalinKa [24]
3 years ago
5

If you vertically compress the square root parent function f(x) = ^x, by 1/2 of a unit what is the equation of the new function

Mathematics
1 answer:
Naddik [55]3 years ago
7 0

Answer:

The equation of the new function is g(x) = \frac{\sqrt{x}}{2}

Step-by-step explanation:

Suppose we have a function f(x).

a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.

f(x - a) is shifting f(x) a units to the right.

f(x + a) is shifting f(x) a units to the left

In this question:

f(x) = \sqrt{x}

Vertically compressing by 1/2:

This is the same as multiplying the function by 1/2. So

\frac{1}{2} \times \sqrt{x} = \frac{\sqrt{x}}{2}

The equation of the new function is g(x) = \frac{\sqrt{x}}{2}

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