Question

Find the equation of the quadratic function f whose graph is shown below. (-4,-1) (-3,-3)

Answer 1

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

Learn more here: brainly.com/question/11286627