Mathematics, 02.10.2019 02:00 krandall232

If the parent function is f(x) = x2 and its transformed function is g(x) = 2(x − 1)2 + 2, how is the graph of g(x) transformed from the graph of its parent function?

stretch, shift along the y–axis, and shift along the x–axis
shift along the x–axis and the y–axis
reflection only
stretch along the y–axis and reflection through the origin

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Answer from: hellp138

Option A is the correct choice.

Step-by-step explanation:

We have been given a parent function f(x)=x^2 and its transformed function is g(x)=2(x-1)^2+2 . We are asked to find the transformation rules used to function f(x) to get g(x).

First of all let us recall the translation rules.

$f(x-a)\rightarrow\text{Graph shifted to the right by a units}$

$f(x)+a\rightarrow\text{Graph shifted upwards by a units}$

$a*f(x)\rightarrow\text{Graph stretches vertically, if a}1$

Upon looking at transformation rules we can see that the graph of g(x) is vertically stretched by a scale factor of 2. It is also shifted along the y-axis by 2 units upwards and along the x-axis by 1 unit to to the right.

Therefore, option A is the correct choice.

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

Answer from: Quest

h= 12 inches

step-by-step explanation:

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