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Use the x-intercepts (-1; 0) and (7; 0) to write the function in factored form.

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a) To find the values of a,b,a, b, and cc for f(x)=ax2+bx+cf(x) = ax^2 + bx + c:

Step 1: Use the x-intercepts (−1;0)(-1; 0) and (7;0)(7; 0) to write the function in factored form.

f(x)=a(x−x1)(x−x2)f(x) = a(x - x_1)(x - x_2) f(x)=a(x−(−1))(x−7)f(x) = a(x - (-1))(x - 7) f(x)=a(x+1)(x−7)f(x) = a(x + 1)(x - 7)

Step 2: Use the y-intercept (0;3.5)(0; 3.5) to find the value of aa.

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