Put the following equation of a line into slope-intercept form, simplifying all
2 answers:
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We have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.
We know that vertex of this quadratic function occurs at (5,2).
Further, we know that range of this function is .
If we restrict the domain of this function to either or
, it will become one to one function.
Let us know find its inverse.
Upon interchanging x and y, we get:
Let us now solve this function for y.
Hence, the inverse function would be if we restrict the domain of original function to
and the inverse function would be
if we restrict the domain to
.
Answer:
The following functions would move the graph of the function to the right on the coordinate plane.
C)
G)
Step-by-step explanation:
We need to check for those functions which shows a horizontal shift of graph to the right.
Translation Rules:
Horizontal shift:
If the function shifts
units to the left.
If the function shifts
units to the right.
Vertical shift:
If the function shifts
units to the up.
If the function shifts
units to the down.
Applying rules to identify the translation occuring in each of the given functions.
A)
Translation:
The translation shows a shift of 2 units to the left and 7 units down.
B)
Translation:
The translation shows a shift of 3 units down.
C)
Translation:
The translation shows a shift of 3 units to the right and 1 units up.
D)
Translation:
The translation shows a shift of 4 units up.
F)
Translation:
The translation shows a shift of 6 units to the left.
G)
Translation:
The translation shows a shift of 5 units to the right.
Answer:
Step-by-step explanation:
the first side is
twice x
2 times x
the symbol means less than or equal to
and finally we have the -18