Hello!
There are different ways that graphs can move around a graph. It can rotated and translated. For vertical shifts, if f(x) + k, then the function shifts up k units and, if f(x) - k, then the function shifts down k units.
Since y = f(x) - 11, the function shifts down 11 units because it follows the format f(x) - k, and in this case k is equal to 11.
Therefore, the correct answer is choice D, the graph of y = f(x) will shift down 11 units.
Y=kxz
64=k×8×4
64=32 K
K=64÷32
=2
Y=kxz
y=2×7×6
Y=84 ....answer
Answer:86.59
Step-by-step explanation:
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Answer:</h2>
The conclusion that is true about f(x) and g(x) based on the table of values is:
- The function f(x) and g(x) are reflections over the y-axis.
<h2>
Step-by-step explanation:</h2>
- We know that the rule that describes the reflection over the y-axis is:
(x,y) → (-x,y)
Hence, if we have a function f(x) as:

Then it's reflection over the y-axis is:

Hence, they are reflection over the y-axis.
- Also, we know that the exponential function of the type:

where a>0 is a increasing function if b>1
and is a decreasing function if: 0<b<1
Hence, f(x) is a increasing function and g(x) is a decreasing function.
- Also, the initial value of a function is the value of function when x=0
when x=0 we see that both f(x)=g(x)=1
i.e. Both f(x) and g(x) have same initial value.
Also,by the graph we may see the relation.