To solve the problem we can use two different methods.
The y-intercept of the quadratic function is at -24.
Given to us
Method
1. By plotting the graph
2. By substituting the value of x as 0, in the function.
Y-intercept of the function
\(y = f(x) = (x -8)(x + 3)\\\)
Substitute x=0,
\(y = f(0) = (0 -8)(0 + 3)\\\\y = (-8)(3)\\y = -24\)
Proof
To prove the y-intercept lies at point (0,-24y-intercept). we will plot the graph of the quadratic function, as given in the below image,
Hence, the y-intercept of the quadratic function is at -24.
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