PLEASE HELP, BEEN STUCK FOR AN HOUR
1 answer:
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Answer:
see below
Step-by-step explanation:
We assume your functions are ...
f(x) = x²
g(x) = (x -4)² +12
_____
You need to be able to recognize that g(x) matches a pattern:
g(x) = f(x-h) +k
where h = 4, and k = 12.
In this pattern, the value of h is the number of units the graph is translated to the right. The value of k is the number of units the graph is translated up.
So, g(x) is the same as the graph of f(x), but translated 4 units right and 12 units up.
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Given:
The given system of equations is:
To find:
The solution to this system of equations by graphing.
Solution:
We have,
The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
