1.Which statement correctly describes the relationship between the graph of f(x)=4xf(x)=4x and the graph of g(x)=f(x)+3g(x)=f(x)
2 answers:
Part 1:
For this case we have the following function transformation:
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
For k = 3 we have:
Answer:
c.The graph of g (x) is the graph of f (x) translated 3 units up.
Part 2:
For this case we have the following function transformation:
Horizontal translations:
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
For h = 2 we have:
Answer:
c.The graph of g (x) is the graph of f (x) translated 2 units left.
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Answer:
Kate's electric bill will be $9 for this month for bulb use only.
Step-by-step explanation:
Given:
Electricity bill lass month from bulb use = $12
Using new bulbs percent decrease in electricity = 25%
We need to find this month electric bill for bulb use.
Solution:
First we will find the reduction in bill after using new bulbs.
reduction in bill after using new bulbs can be calculated by percent decrease in electricity using new bulb multiplied by last month Electricity bill from bulb use only.
framing in equation form we get;
reduction in bill after using new bulbs =
Now we will find this month electric bill for bulb use only.
this month electric bill for bulb use only can be calculated by subtracting reduction in bill after using new bulbs from last month electric bill for bulb use only.
framing in equation form we get;
this month electric bill for bulb use only =
Hence Kate's electric bill will be $9 for this month for bulb use only.