To find the equation of the parabola that passes through the points (-1,0), (4,2), and (5,0), we can use the form y=a(x–p)(x–q), where a, p, and q are the x-intercepts of the parabola.

From the points given, we can see that the x-intercepts are -1 and 5. So, p = -1 and q = 5.

Now, we have the equation in the form y = a(x - (-1))(x - 5).

To find the value of 'a', we can use the point (4,2) which lies on the parabola. Substituting x = 4 and y = 2 in the equation, we get:

2 = a(4 - (-1))(4 - 5)
2 = a(5)(-1)
2 = -5a

Solving for 'a', we get a = -2/5.

So, the equation of the parabola is y = -2/5(x + 1)(x - 5).

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To find the equation of the parabola that passes through the points (-1,0), (4,2), and (5,0), we can use the form y=a(x–p)(x–q), where a, p, and q are the x-intercepts of the parabola.

From the points given, we can see that the x-intercepts are -1 and 5. So, p = -1 and q = 5.

Now, we have the equation in the form y = a(x - (-1))(x - 5).

To find the value of 'a', we can use the point (4,2) which lies on the parabola. Substituting x = 4 and y = 2 in the equation, we get:

2 = a(4 - (-1))(4 - 5)
2 = a(5)(-1)
2 = -5a

Solving for 'a', we get a = -2/5.

So, the equation of the parabola is y = -2/5(x + 1)(x - 5).

Knowee AI · Accepted Answer

To find the equation of the parabola that passes through the points (-1,0), (4,2), and (5,0), we can use the form y=a(x–p)(x–q), where a, p, and q are the x-intercepts of the parabola.

From the points given, we can see that the x-intercepts are -1 and 5. So, p = -1 and q = 5.

Now, we have the equation in the form y = a(x - (-1))(x - 5).

To find the value of 'a', we can use the point (4,2) which lies on the parabola. Substituting x = 4 and y = 2 in the equation, we get:

2 = a(4 - (-1))(4 - 5)
2 = a(5)(-1)
2 = -5a

Solving for 'a', we get a = -2/5.

So, the equation of the parabola is y = -2/5(x + 1)(x - 5).

Write the equation of the parabola that passes through the points shown in the table.x y–1 04 25 0Write your answer in the form y=a(x–p)(x–q), where a, p, and q are integers, decimals, or simplified fractions.

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