Answer :
The equation of the unique function exists g(x) = -4(x-3)².
What is a quadratic equation?
The polynomial of degree two exists named a quadratic polynomial and the equation corresponding to a quadratic polynomial P(x) exists named a quadratic equation.
Given: F(x) = x²
The vertical stretch by a factor of 4 exists can be satisfied by (b)
if we use a vertical stretch, it transforms the y-values which causes it to seem skinnier when graphed.
Multiply 4 by f(x) which provides 4x².
As the reflection over the x-axis, so multiply it by -1 to f(x), which results in -4x².
Shift the graph right 3 which exists by moving it right, so by adjusting the x values indicating use f(x-3), to obtain this subtract the value from x when you move right, and add the value to x when you move left.
Hence, the unique graph would be g(x) = -4(x-3)²
Therefore, the correct answer is option B. g(x) = -4(x-3)².
To learn more about equations refer to:
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