Range is {-2}
Domain is (-infinity,infinity)
Answer:
3*104=312
15*108=1620
1620/312=5.19230769 OR 5.19 OR 5.1 OR 5
F(x) = -x²-17 is not a translation.
A translation of this graph would either have something added to/subtracted from the end of the function (the c value) or something added or subtracted to x before it is squared. f(x) = -x²-17 is a reflection, as the coefficient of x² is negative.
Every other choice has something either added to or subtracted from either x before it is squared or from the end.
solution:
a) The mean value of gap w̅ is given by,
w̅= d̅ - a̅ - b̅ - c̅
w̅=06.520-0.150-2.000-3.000
w̅=0.020 in
bilateral tolerances of the gap is given by,
tw = ∑t
tw = 0.001+0.003+0.004+0.010= 0.018 in
w = 0.020 ± 0.018 in
b) if wmin =0.010 in , then
w̅ = wmin + tw
w̅ = 0.010+ 0.018=0.028 in
mean size of d is
d̅ = a̅ + b̅+ c̅+ w̅
d̅ =1.500+2.000+3.000+0.028
= 6.528 in
Answer:
The graph of y = f(x) will shift left 6 units, as shown in figure a.
Step-by-step explanation:
A translation means we are able to move the graph of a function up or down - normally called Vertical Translation - and right or left - commonly called Horizontal Translation.
If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the x, so it is f(x + 6).
For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.
So, the graph of y = f(x) will shift left 6 units.
Keywords: graph shift, translation
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