Concept explainers
Find the quadratic function.
Answer to Problem 50HP
No, Graph 1 and Graph 2 don’t have same
Explanation of Solution
Given Information: Graph 1 passes through
Formula Used:Elimination method
Calculation:
Graph 1 passes through
As the general equation
Now,
So,
Hence,
Now,
So,
Hence,
Now,
So,
Hence,
Put value of eq. (2) in eq. (3),
As,
Now,
Hence, divide the equation by 3
Put value of eq. (2) in eq. (4),
As,
Hence,
Now, solving the equation (5) & (6) by elimination method,
and
Now, solve equation
Now,
Hence,
Put value of a and c in equation (4),
As,
So, simplify
Hence,
Now, put value of equation a, b and c in equation (1) to solve quadratic function.
So, quadratic function
From Graph 2 point
As the given equation
Now,
So,
Now,
Hence,
No, Graph 1 and Graph 2 don’t have same quadratic equation.
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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