Answer:
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Answer:
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Step-by-step explanation:
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For x = -4
f (x) = x + 2
We evaluate the value of x = -4
f (-4) = (- 4) +2
f (-4) = - 2
For x = 4
f (x) = - 2x + 4
We evaluate the value of x = 4
f (4) = - 2 (4) +4
f (4) = - 8 + 4
f (4) = - 4
For x = 0
f (x) = 3x-4
We evaluate the value of x = 0
f (0) = 3 (0) -4
f (0) = 0-4
f (0) = - 4
Answer:
f (-4) = - 2
f (4) = - 4
f (0) = - 4
We are given the following function:
We are asked to do the following tranformations:
1. Shift down 5 units and left 77 units.
First, to shift a function down a number "n" of units we follow the next rule:
And, to shift a function "m" units to the left we use the following rule:
Applying both rules simultaneously we get:
2. Reflect about the y-axis.
The rule to reflect a function about the y-axis is the following:
The means that we will change "x" for "-x" in the function we are going to reflect. Applying the rule we get:
3. Compress vertically by a factor of 2.
To compress a function vertically by a factor "m" we multiply the entire function by 1/m, like this:
Applying the rule we get:
And thus we get to the final function.