Q. Find the y-coordinate of the y-intercept of the polynomial function defined below.f(x)=−2x(x+2)Answer:
Evaluate at x=0: To find the y-coordinate of the y-intercept of the function f(x)=−2x(x+2), we need to evaluate the function at x=0, because the y-intercept occurs where the graph of the function crosses the y-axis, and the x-coordinate of any point on the y-axis is 0.
Substitute x=0: Substitute x=0 into the function f(x)=−2x(x+2) to find the y-coordinate of the y-intercept.f(0)=−2×0×(0+2)
Simplify the expression: Simplify the expression by performing the multiplication.f(0)=−2×0×2f(0)=0
Final y-coordinate: Since f(0)=0, the y-coordinate of the y-intercept is 0.
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