Question

What is a possible equation for f(x)? F(x) intersects the x-axis at -3 and 5.

Answer 1

`f(x)=x^2-2x-15`

Explanation:

One option for an equation that intersects the x-axxis at -3 and 5 would be

`f(x)=(x-5)(x+3)`

This simplifies to
`f(x)=x^2-2x-15`

Answer 2

Answer: A possible equation for f(x) is x^2 - 2x - 15

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