The equation of the parabola in factored form is given as follows:
y = (x - 1)² - 4.
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
Looking at the graph, the vertex is at point (1,-4), hence h = 1, k = -4, and the equation is:
y = a(x - 1)² - 4.
The y-intercept is y = -3, hence this is used to find a.
-3 = a(0 - 1)² - 4
a = 1.
Hence the equation is:
y = (x - 1)² - 4.
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