Answer:
[tex]f(x)=x^2-2x-15[/tex]
Step-by-step explanation:
One option for an equation that intersects the x-axxis at -3 and 5 would be
[tex]f(x)=(x-5)(x+3)[/tex]
This simplifies to [tex]f(x)=x^2-2x-15[/tex]
Answer: A possible equation for f(x) is x^2 - 2x - 15
Step-by-step explanation:
F(x) intersects the x-axis at -3 and 5. A parabola is formed and it cuts the x axis at x = -3 and x = 5.
To determine the equation for f(x), we would multiply (x + 3) by (x - 5). It becomes
(x + 3)(x - 5)
We would expand the parentheses by multiplying each term in the first parentheses by each term in the second parentheses. It becomes
= x^2 - 5x + 3x - 15
= x^2 - 2x - 15
