Part A)
Recall that:
1) The function represented by the graph of the function f(x) translated vertically n units up and horizontally m units left is:
2) The function represented by the graph of the function f(x) reflected over the x-axis is:
Now, notice that g(x) is the function f(x) reflected over the x-axis and then translated vertically 6 units up and horizontally 4 units left.
Answer Part A:
Options B, C, and D.
Part B) To graph g(x) we will reflect the graph of f(x) over the x-axis and then we will translate it vertically 6 units up and horizontally 4 units left.
We know that the graph of f(x)=|x| is:
The above graph reflected over the x-axis is:
Finally, the above graph translated vertically 6 units up and horizontally 4 units left is:
Answer part B:
It has to be 12. I mulitplied 8 x 1.5
Answer:
C) A person's height, recorded in inches
Step-by-step explanation:
Quantitative Variable:
- A quantitative variable is a variable which can be measured and have a numeric outcome.
- That is the value of variable can be expressed with numbers.
- Foe example: age, length are examples of quantitative variables.
A) The color of an automobile
The color of car is not a quantitative variable as its outcome cannot be measured and expressed in value. It is a categorical variable.
B) A person's zip code
Some variables like zip codes take numerical values. But they are not considered quantitative. They are considered as a categorical variable because average of zip codes have no significance.
C) A person's height, recorded in inches
Height is a qualitative variable because it can be measured and its value is expressed in numbers.
I would estimate it as (300 x 7) = 2100
Then I would subtract (11 x 7) + 77 from that to get the exact answer of 2023
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I didn't use a calculator or paper. The 'trick' is to notice that 289 = (300 - 11)
