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Anna71 [15]
3 years ago
12

The parent function f(x) = log4x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of

three and shifting it down two units. Which function is representative of this transformation?
A.) g(x) = log4(-3x) - 2

B.) g(x) = log4(3x) + 2

C.) g(x) = -3log4(x) - 2

D.) g(x) = 3log4(x) + 2
Mathematics
1 answer:
Snezhnost [94]3 years ago
6 0
The reflection over the x-axis is given by the transformation:
f₁(x) = - f(x)
Therefore, the first step is:
f₁(x) = - log(4x)

Stretching by a factor n along the y-axis is given by the transformation:
f₂(x) = n · f₁(x)
Therefore we get:
f₂(x) = -3 · log(4x)

Shifting a function down of a quantity n is given by:
f₃(x) = f₂(x) - n
Therefore:
f₃(x) = -3·log(4x) - 2

Hence, the correct answer is C) g(x) = <span>-3·log(4x) - 2</span>
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Are the lines with equations 2x -3y = 8 and -x + 4y=2 parallel, perpendicular, or neither
skad [1K]

Answer:

neither

Step-by-step explanation:

First, arrange the equations to fit the y=mx + b format

1. 2x - 3y = 8

y = -2/3x - 8/3

2. -x + 4y = 2

y = 1/4x + 1/2

Equations that are parallel have the same slope.

In perpendicular equations, one slope would be x and the other would be -1/x (negative reciprocal)

The equations are neither parallel nor perpendicular, so neither.

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The value of 3.6 - 2.4 ÷ (-0.8) is
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