Answer:
E’(-5,1)
Step-by-step explanation:
Left = x-3 = -2-3 = -5
up = y+4 = -3 + 4 = 1
To transform f(x) into g(x) we need to use addition, subtraction and multiplication.
Given f(x)= and g(x)=
We need to transform function f(x)into g(x).
A function refers to a relation which expresses relationship between two variables. It contains one value for each value of x. If there are more than one value for one value of x then it is not said to be a function.
f(x)=, g(x)=
To transform f(x) into g(x) we need to follow the following steps:
- First subtract 3 from f(x).
- Then multiply the expression received from above step by 3.
- Next step is to add x/3 to the expression received from the above step.
- Now we will get the g(x)=.
Hence we have to use addition, subtraction and multiplication for transformation.
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Answer:
Graph of the new function will be vertically stretched by 2 units.
Step-by-step explanation:
A linear function is represented by the equation, y =
This function has the slope = and y-intercept = 4
If this function is stretched vertically by 'k' the the equation of the new function will be,
y =
y = ---------(1)
If the slope of this equation is changed to ,
New equation of the function will be,
y = ---------(2)
Comparing equations (1) and (2),
a = 2
Therefore, graph of the new function will be stretched vertically by 2 units.
Answer:
31 mpg
1705 miles
Step-by-step explanation:
310/20 = 31 mpg
30mi/gal (75 gallons) = 1705 miles
Explanation which begins with '<span>A cylinder is like a stack of circles.'
Formula of volume of cylinder is: <u>V=</u></span><u>π*R²*h</u>, where π≈3.1415, R - radius of the circle, h - height of the cylinder.