The quadratic function is given by f(x) = 5x² - 10x - 40 and the other zero is at x = -2
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
The function f(x) has one zero at x = 4, and maximum point at (1, -45), Hence:
Using the maximum point:
f(x) = a(x - 1)² - 45
The zero is at (4, 0),
f(4) = 0 = a(4 - 1)² - 45
0 = a(4 - 1)² - 45
a = 45
f(x) = 5(x - 1)² - 45
f(x) = 5x² - 10x - 40
The second zero is at:
0 = 5x² - 10x - 40
x = 4; and x = -2
The quadratic function is given by f(x) = 5x² - 10x - 40 and the other zero is at x = -2
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