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Answer:<em> X=6</em></h2>
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Answer:
g(x) = x^2 + 4x + 4
Step-by-step explanation:
In translation of functions, adding a constant to the domain values (x) of a function will move the graph to the left, while subtracting from the input of the function will move the graph to the right.
Given the function;
f(x) = x2 - 6x + 9
a shift 5 units to the left implies that we shall be adding the constant 5 to the x values of the function;
g(x) = f(x+5)
g(x) = (x+5)^2 - 6(x+5) + 9
g(x) = x^2 + 10x + 25 - 6x -30 + 9
g(x) = x^2 + 4x + 4
This is a linear function, of the kind y = mx + b
where x is the number of visit, b is the weight when x = 0, and m is the predicted change of weight for every visit.
m = - 4 ounces / visit, which must be converted to pounds (the negative sign indicates that the change is a decrease)
1 lb = 16 ounces = 4 ounces = 0.25 lb
Then m = - 0.25 lb / visit.
Now, for x = 1, y = 126 => 126 = - 0.25(1) + b => b = 126 + 0.25 = 126.25
Then the function is y = 126.25 - 0.25x
Now round to the nearest tenth:
y = 126.3 - 0.3x
Answer: y = 126.3 - 0.3x
Answer:
-450
-90
270
Step-by-step explanation: Just did it on edgen-uity
Dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.
<h3>What is dilation?</h3>
Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
Here, △ HIJ are:
IH = 3
IJ = 4
then using the scale factor = 1/2 we get
Therefore, we have:
I'H '= 1.5
I'J '= 2
Hence, dilation by a scale factor of 1/2 followed by a translation of 1.5 units down.
Learn more about this concept here:
brainly.com/question/1011146
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