The graphs below have the same shapes. What is the equation for the red graph?
1 answer:
The equation of the red graphed function is: g(x) = 1 - x².
<h3>How to Find the Equation of a Graphed Function?</h3>Given the graph shown in the attachment below, the graphed function heads downwards, and the x - axis is intercepted at ( 1, 0 ) and (-1,0).
Thus, the x-intercepts, which is the zeros of the function, are: 1 and -1.
So, g(x) = (x + 1)(x -1)
Expand:
g(x) = 1 - x²
The equation of the red graph is: g(x) = 1 - x².
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Greetings!
Solve the System, using Elimination:
Multiply Equation #2 by 2:
Eliminate variable x:
Divide both sides by 4:
Input this value into one of the Equations:
Simplify:
Divide both sides by 4.
The Solution to this System (The Point of Intersection):
I hope this helped!
-Benjamin
Solve the System, using Elimination:
Multiply Equation #2 by 2:
Eliminate variable x:
Divide both sides by 4:
Input this value into one of the Equations:
Simplify:
Divide both sides by 4.
The Solution to this System (The Point of Intersection):
I hope this helped!
-Benjamin