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

Here is a graph that represents a quadratic function. Which equation could define-example-1
User Mitemmetim
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2 Answers

10 votes

Answer:

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)

User Steve Scheffler
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8.0k points
6 votes

Answer:


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!

User Felixlaumon
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