The equation of the function is f(x) = (-1/4)(x+10)(x-3)
The y intercept of the function = A(0, 7.5)
The zeros of the function are
-10 and 3
The equation in intercept form
y = a(x - p)(x - q)
Where the value of p = -10
The value of q = 3
Then the function will be
f(x) = a(x + 10)(x - 3)
The point A = (0, 7.5)
Substitute the values of x and y in the equation
7.5 = a(0+10)(0-3)
Do the arithmetic operation
7.5 = a(10)(-3)
Multiply the terms
7.5 = -30a
a = 7.5 / -30
Divide the terms
a = -1/4
Hence, the equation of the function is f(x) = (-1/4)(x+10)(x-3)
Learn more about intercept form here
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