Question

Here is a graph that represents a quadratic function. Which equation could define this function?

Answer 1

d. y = (x +2)(x -3)

Explanation:

When p is a zero of the function (an x-intercept), the function has (x -p) as a factor.

Here, the x-intercepts are x = -2 and x = 3. This means the factors of the function are (x -(-2)) = (x +2) and (x -3).

y = (x +2)(x -3)

Answer 2

`y=(x+2)(x-3)`

Explanation:

Hi there!

The given answer choices are written in intercept form:

`y=(x-r)(x-s)` where r and s are both x-intercepts of the function

x-intercepts occur when the function crosses or touches the x-axis.

On the graph, we can see that the parabola crosses the x-axis at x=-2 and x=3. Plugging these into intercept form, we get:

`y=(x+2)(x-3)`

I hope this helps!