Solve for a when the equation f(x) = a(x-4)² + 2 passes through the point (5,0)
To solve for a, we need to substitute the values of the given point into the equation f(x) = a(x-4)² + 2 and solve for a
To solve for a, we need to substitute the values of the given point into the equation f(x) = a(x-4)² + 2 and solve for a.
Given point: (5, 0)
Substituting the values into the equation:
0 = a(5 – 4)² + 2
Simplifying the expression inside the parentheses:
0 = a(1)² + 2
0 = a(1) + 2
0 = a + 2
Subtracting 2 from both sides of the equation:
-2 = a
Therefore, the value of a that satisfies the equation and makes it pass through the point (5,0) is -2.
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