The graph of y = f(x − 3) is a _____ of the graph of y = f(x).
2 answers:
<h2>Answer:</h2>
shift
<h2>Step-by-step explanation:</h2>These are common types of transformations of functions. Many functions have graphs that are simple transformations of the parent graphs, that are the most basic functions. In this way, we can use vertical and horizontal shifts to sketch graphs of functions. These are rigid transformations because the basic shape of the graph is unchanged. Therefore is a Horizontal Shift, so the graph of the function
has been shifted 3 units to the right.
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Answer:
Step-by-step explanation:
7)Fraction of apple pie after eaten by Jeremy = 1 - (1/3) = 2/3
Fraction of pie eaten by Sara
8)
Fraction left =
Answer:
Part A: Angle R is not a right angle.
Part B; Angle GRT' is a right angle.
Step-by-step explanation:
Part A:
From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).
Slope formula
The product of slopes of two perpendicular lines is -1.
Slope of GR is
Slope of RT is
Product of slopes of GR and RT is
Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.
Part B:
If vertex T translated by rule
Then the coordinates of T' are
Slope of RT' is
Product of slopes of GR and RT' is
Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.