Find the measure of angle x in the figure below:
1 answer:
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Answer:
g(x) is shifted 6 units to the left
Step-by-step explanation:
Lets try to simplify g(x) since has a few extra terms:
g(x)= 3x+12-6=3x+6
Now it is easier to compare the two functions.
We can tell that they both have the same slope, both differs on a extra term
This term tell us that the g(x) is shifted to the left (it is positive 6)
Another approach to the solution is to plot the two functions together by obtaining the crossing points with the 'y' axis and with the 'x' axis
the result is shown in the attached picture
To find the vertex of our parabola, we are going to use the vertex formula: For a quadratic of the form 
it vertex 
is given by 
, 
.
We can infet from our parabola that
and 
. So lets replace those values in our formula:
The vertex of our parabola is 
Now to find our second point, we are going to evaluate our parabola at
Our second point is
We can conclude that we can graph the parabola
using its vertex and the point as follows:
We can infet from our parabola that
The vertex
Now to find our second point, we are going to evaluate our parabola at
Our second point is
We can conclude that we can graph the parabola