Find the equation of the quadratic function f whose graph is shown below. (-4,-1) (-3,-3)
1 answer:
The equation of the quadratic function f whose graph is shown below is x² + 6.1x + 8.2
Find the diagram attached.
First, we need to get the zeros of the required function. The point where the curve cuts the x-axis is the zeros.
According to the graph, the curve cuts the x-axis at x = -2 and x = -4.1
The required factors will be (x+2) and (x+4.1)
Taking the product of the factors
f(x) = (x+2)(x+4.1)
f(x) = x²+4.1x+2x +8.2
f(x) = x² + 6.1x + 8.2
Hence the equation of the quadratic function f whose graph is shown below is x² + 6.1x + 8.2
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