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use the information provided to find the 'a value of the factored form equation of each parabola. x-intercepts: -6 and 1, passes

Question

Use the information provided to find the 'a value of the factored form equation of each parabola. x-intercepts: -6 and 1, Passes through: (2,-2) What is the value of 'a' in the function y=a(x-1)(x+6) If'a' is a fraction , type it in as 3/7

Answer

4.1 (213 Votes)
Verificación de expertos
Tristan Advanced · Tutor for 1 years

Answer

Given the parabola with x-intercepts at -6 and 1, the factored form of the equation is \(y = a(x - 1)(x + 6)\). To find the value of 'a', we can use the point (2, -2) which the parabola passes through.Plugging the coordinates of the point into the equation, we get:\(-2 = a(2 - 1)(2 + 6)\)\(-2 = a(1)(8)\) Now, solve for 'a': So, the value of 'a' is .