Find the x-intercepts of the parabola with vertex (4,-1) and y-intercept (0,15). Write your answer in this form: (x1,y1),(x2,y2). If necessary, round to the nearest hundredth.

(3,0) and (5,0)

Step-by-step explanation:

First let's write the generic model of a parabola:

Now, using the points (0, 15) and (4, -1), we have:

(0, 15):

(4, -1):

The x-coordinate of the vertex is given by the equation:

Now, using this value of b in the equation , we have:

The x-intercepts are where we have y = 0, so:

Using Bhaskara's formula, we have:

So the x-intercepts are (3,0) and (5,0).

step-by-step explanation:

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