Please show work!!!! H3 Summer 2018- MTO For the quadratic f(x)-ax +bx+ intercep
ID: 3186205 • Letter: P
Question
Please show work!!!! H3 Summer 2018- MTO For the quadratic f(x)-ax +bx+ intercept is (0,9),x-intercept is (-3,0), and b o. Which of the following could be a factor of x)? A) (x-9) B) (x+9) C) (x-3) D) (x+3) , the y- What is the minimum value of the product of two integers that differ by 10? A)-35 B)-30 C) -25 D) -21 13 9 Rx)-3x+1 When 4x1-2x +1 is divided by (x +2), whatis the remainder? A)-67 B) -59 C) 61 D) 69 Given the functions f and g above, which of the following is equivalent to iglx) When 5-5x4+2-11x+7 is divided by (x 1), what is the remainder? A) -12 B) -6 c) 10 D) 21 g(x)=2x+1 Given the functions fand g above, which of the following is equivalent to f2x-1)? The vertex of a quadratic lies on (-2, 25) and one of C a the roots is at (3, 0). Where is the other root located D) g(-2x)+9Explanation / Answer
8. As b = 0, so, the quadratic function becomes
f(x) = ax^2 + c
Putting the y-intercept (0,9), the function becomes,
9 = a×0^2 + c => c = 9
Putting x-intercept (-3,0) in the function it becomes
0 = a.(-3)^2 + 9 => a = 9/9 = 1.
Hence the function becomes
f(x) = 1.x^2 + 9 = x^2 + 3^2 => (x - 3)^2 + 2.x.3
Thus one of the factors = (x - 3). Option ( c).