Write the equation of the parabola that passes through the points (-5,0), (-2,9), and (3,0). Write 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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Write the equation of the parabola that passes through the points (-5,0), (-2,9), and (3,0). Write 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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Identify x-intercepts: We have the points (-5,0), (-2,9), and (3,0). The points where the parabola crosses the x-axis are (-5,0) and (3,0), which means these are the x-intercepts of the parabola. Therefore, we can identify the values of p and q as p = -5 and q = 3.Substitute p and q: Using the standard form of a parabola y = a(x - p)(x - q), we substitute p = -5 and q = 3 into the equation to get y = a(x + 5)(x - 3).Find value of a: Now we need to find the value of a. We can use the point (-2,9) to do this. Substituting x = -2 and y = 9 into the equation y = a(x + 5)(x - 3) gives us 9 = a(-2 + 5)(-2 - 3).Solve for a: Solving the equation 9 = a(3)(-5) gives us 9 = -15a. Dividing both sides by -15, we get a = -9/15, which simplifies to a = -3/5.Write final equation: Now that we have found a = -3/5, we can write the final equation of the parabola. Substituting a = -3/5 into y = a(x + 5)(x - 3), we get y = -3/5(x + 5)(x - 3).

Write the equation of the parabola that passes through the points $(-5,0$ ), $(-2,9$ ), and $(3,0$ ). $\newline$ Write 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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Write the equation of the parabola that passes through the points (−5,0(-5,0(−5,0), (−2,9(-2,9(−2,9), and (3,0(3,0(3,0).\newlineWrite your answer in the form y=a(x−p)(x−q)y = a(x - p)(x - q)y=a(x−p)(x−q), where aaa, ppp, and qqq are integers, decimals, or simplified fractions.

Write the equation of the parabola that passes through the points $(-5,0$ ), $(-2,9$ ), and $(3,0$ ). $\newline$ Write your answer in the form $y = a(x - p)(x - q)$ , where $a$ , $p$ , and $q$ are integers, decimals, or simplified fractions.