The statement that best describes the effect of replacing the graph of f(x) with the graph of f(x) - 3 is; B) The graph shifts 3 units down.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it. If we know that the function crosses x axis at some, then for some polynomial functions, we have those as roots of the polynomial.
The parent function is function of x and we the translated function is in the form f(x)-3.
Transformation Rule state that if the parent function is f(x) and if we subtract some constant 'a' in f(x) then the function will move down by 'a' units.
Thus, from the transformation rule, we can conclude that f(x) graph will shift down by 3 units.
Therefore, the correct option is; B) The graph shifts 3 units down.
Learn more about finding the graphed function here:
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Answer: x = -3
Step-by-step explanation: If a line has an undefined slope, it means that the line is vertical. A vertical line is parallel to the y-axis and does not have a slope.
To find the equation of a vertical line, we need to know the x-coordinate of any point on the line. In this case, the point (-3,4) is given.
Since the line is vertical and parallel to the y-axis, the equation of the line will be in the form x = constant, where the constant is the x-coordinate of the given point.
Therefore, the equation of the line that passes through the point (-3,4) and has an undefined slope is x = -3.
Solve the following system:
{y = x + 4 | (equation 1)
y + x = 2 | (equation 2)
Express the system in standard form:
{-x + y = 4 | (equation 1)
x + y = 2 | (equation 2)
Add equation 1 to equation 2:
{-x + y = 4 | (equation 1)
0 x + 2 y = 6 | (equation 2)
Divide equation 2 by 2:
{-x + y = 4 | (equation 1)
0 x + y = 3 | (equation 2)
Subtract equation 2 from equation 1:
{-x + 0 y = 1 | (equation 1)
0 x + y = 3 | (equation 2)
Multiply equation 1 by -1:
{x + 0 y = -1 | (equation 1)
0 x + y = 3 | (equation 2)
Answer: x = -1 y = 3
c=
$+(-)
To add or subtract fractions, their denominators
must be the same. In this problem, we can get a
common denominator by multiplying the second
fraction by 3/3.
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3
(-ſ).
-
What number belongs in the green box?
Answer:
Each of them need to pay to buy a whole pie together = $1.50
Step-by-step explanation:
Unit rates defined as the rates are expressed as a quantity of 1, such as 7 feet per second or 9 miles per hour, they are called unit rates.
As per the statement: You sell pies at a farmers' market for $7.50 each.
⇒ Cost of each pie = $7.50
Also, five people want to share a pie by splitting the cost equally.
Number of people = 5
then, by definition of unit rate;
unit rate per people =
Therefore, $1.50 will each of them need to pay to buy a whole pie together.