A parabola with x intercepts of (8,0) and (-2,0) which passes through the point (7,9)
1 answer:
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The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9
<h3>How to determine the quadratic equation?</h3>From the question, the given parameters are:
Roots = (-1 - √2)/3 and (-1 + √2)/3
The quadratic equation is then calculated as
f(x) = The products of (x - roots)
Substitute the known values in the above equation
So, we have the following equation
This gives
Evaluate the products
Evaluate the like terms
So, we have
f(x) = x²+ 2/3x - 1/9
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The graph of amount Tom owes his friend after a given time, <em>t</em>, is a straight line graph with a negative slope
Please find attached the required example of a possible graph that shows the amount Tom owes his friend
Reason:
Let <em>A</em> represent the amount of money Tom buys the boat with, let <em>x</em>
represent the amount of equal payment made and <em>y</em> represents the
amount Tom owes the friend after a given time, <em>t</em>, we have;
y = A - x·t
Therefore, the slope of the graph formed is <em>-x</em>, the y-intercept of the graph
is <em>A</em>, from which the graph that gives the amount of money, in dollars, Tom
owes his friend, as a function of time, in years can be presented as follows,
using example values;
A = $25,000 (Amount the Tom agrees to buy the boat)
x = $5,000 (Amount Tom pays each year for the boat)
By plugging in the above example values, the attached graph can be drawn using MS Excel
Learn more about plotting of straight line graphs here:
