How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) =
2 answers:
The adjusted equation , indicating that the graph has been altered 4 units leftward and 6 units downward.
Clarification:
The parent equation is .
The transformed equation is .
Applying the function transformation rules, it's clear that the parent function has been modified into the function
.
According to the function transformation rules,
indicates shifting the function b units to the left.
Thus, the transformed function reflects a shift 4 units to the left.
Additionally, from the function transformation rules, we understand that,
indicates shifting the function b units downward.
Consequently, the transformed function mirrors a shift of 6 units downward.
In summary, the adjusted equation , shows the graph shifted 4 units to the left and 6 units downward.
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Answer:
(A)(12, 9)
Step-by-step explanation:
Provided:
The starting point of the stencil's left edge is at (2, -1).
A designated point, referred to as Q on the stencil, is located at (4, 1).
Point Q divides the stencil in a 1:4 ratio.
We are tasked with determining the endpoint of the stencil.
Mathematically, Point Q segments the stencil internally in a 1:4 ratio.
For calculating the internal division of a line segment with initial point and end point
in the ratio m:n, we apply the formula
,
, Q(x,y)=(4,1), m:n=1:4
Consequently:
The selected choice is A.