Write the formula for the parabola that has x-intercepts (−2,0) and (4.6,0), and y-intercept (0,1.5)

that simply means, the two factors for that equation will then be (x+2)(x-4.6)

for the f(x) function or "y" for that matter, that simply means

y = a(x+2)(x-4.6) which give us  y = a(x²-2.6x-9.2) if we do some FOIL on it

so.. what the dickens is the coefficient "a" then?

well, we have the y-intercept, we know is (0, 1.5)   that simply means when x = 0, y = 1.5  well, let's use that point, since it's a point on the parabola

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