Can someone help me please
1 answer:
Answer:
y = (-1/80)x^2 +2x
Step-by-step explanation:
The graph of the equation for the arch will go through the points ...
(0, 0), (160, 0), (80, 80)
We can start by making use of the zeros to write the function ...
y = a(x -0)(x -160)
To make the graph go through the point (80, 80), we must have ...
80 = a(80 -0)(80 -160) = (-80^2)a
-1/80 = a . . . . . . divide by the coefficient of "a"
So, our equation is ...
y = (-1/80)x(x -160)
y = (-1/80)x^2 +2x
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The value of b is -16 and the value of ac is 60 after comparing with the standard equation.
<h3>What is a quadratic equation?</h3>Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have a quadratic function:
= 3x² - 16x + 20
On comparing with standard function:
b = -16
a = 3
c = 20
ac = 3(20) = 60
Thus, the value of b is -16 and the value of ac is 60 after comparing with the standard equation.
Learn more about quadratic equations here:
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