Given the functions f(x)=1x−3+1 and g(x)=1x+4+3 .
2 answers:
Answer:
The graph shifts 7 units left and 2 units up.
Step-by-step explanation:
In transformations, when a number is added or subtracted to "x" directly, that is the left/right shift.
When a number is added or subtracted outside of the "rest" of the equation, that is the up/down shift.
I learned transformations with these variables:
"a" - vertical stretch (a > 1) or compression (0 < a < 1)
"k" - horizontal stretch (0 < k < 1) or compression (k > 1)
"c" - translate left (+) or right (-)
"d" - translation up (+) or down (-)
The untranslated graph is centred around the origin f(x) = 1/x
f(x) begins 3 units right and 1 unit up of the untranslated graph.
g(x) is 4 units left and 3 units up of the untranslated graph.
y
g |
| f
-----------|------------ x
There is a 7 units translation left and 2 units translation up.
You might be interested in
Answer:
The two points solutions to the system of equations are: (2, 3) and (-1,6)
Step-by-step explanation:
These system of equations consists of a parabola and a line. We need to find the points at which they intersect:
Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:
x = 2 and x = -1
Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:
when x = 2 then
when x= -1 then
Then the two points solutions to the system of equations are: (2, 3) and (-1,6)