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HACTEHA [7]
3 years ago
10

What transformation was not done to the linear parent function, f(x) = x, to get the function g(x) = - 5(x - 3) - 8 ? A. Reflect

ion over the x-axis B. Shift down 8 units C. Horizontal stretch by a factor of 5 D. Shift right 3 units
Mathematics
1 answer:
liraira [26]3 years ago
7 0

Answer:

A. Reflection over the x-axis.

Step-by-step explanation:

Now, we present how to transform f(x) = x into g(x) = -5\cdot (x-3)-8 below:

1) f(x) = x Given.

2) f(x-3) = x - 3 Horizontal shift to the right.

3) -5\cdot [f(x-3)] = -5\cdot (x-3) Vertical scale factor.

4) -5\cdot f(x-3)-8 = -5\cdot (x-3)-8 Vertical shift downwards.

5) g(x) = -5\cdot (x-3)-8 Definition/Result

In consequence, the only transformation which was not done to the linear parent function was a reflection over the x-axis. The correct answer is A.

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