Need help as soon as possible solving questions 7, 9, 10, and 12 in the first image, and just number 7 in the second image.
7. Determine the equation of the transformed y = x* function that has an minimum at (-2,5) and a y-intercept of 58 _ ) 5 8. Given /(x ) = ] -+4 is a transformation of a parent function, g(x), determine the: 6 x - 1 a) equation of the parent function g ( x ) = _= b) domain of f(x) 60 - 1 70 620 7 1 c) range of f(x) 9. Given f(x) = -3(2x -10)* + 243 determine the: a) x-intercepts, if any b) range of f(x) MER UE 2435 c) coordinates of any turning points (max/min) 2 ( DC - S ) ( 15, 243 ) d) interval(s) of decrease DC = 15 10. Simplify g(x) = 5-2x+24 -6 so g(x) has no horizontal stretch/compression, 11. If (x, y) - (2x -5,-7y+3) is the mapping rule for a transformation of y = vx then state the equation of the transformed function. y = - 7 1 2 ( 2 + 5 ) + 3 12. The domain of g(x) is (x ER|x > -5; and its range is (9(x) ER|-14 sg(x) x neither neither -10 10 c) coordinates of -5 + all turning pts (max/min) (-4.3.-9.5) d) end behaviour as x -> co -10 - /18All answers should be expressed ! act values unless otherwise specified. 1. For each of the following functions determine: i) the parent function v) the mapping rule from parent function ii) f ( -9 ) v) the domain and range iii) f" ( -4 ) 7 19 a ) f ( x ) = 3x +8 b) 9(x ) =- 514-7x + 8 2. Fully factor: a ) 1-25x2 b) 35 x3 - 5x2 c) 144x2 - 168xy + 49y? d) x(8x -3)-9(3-8x) e) 4x2-15x + 9 f) 3x2 -13x - 10 3. Simplify the expression * - 3 f(x) -f(3) for each of the following functions: a) f ( x ) = - 4x+2 b ) f ( x ) = - 3x2 + 7x-6# 7 c ) f ( x ) = - * + 5 d) f ( x ) = - 3x - 4 x 2 + 7x - 2 4. Expand and simplify: a ) ( x + 4 ) 5 b ) (2x - 3) 4 c ) ( x + h ) ? 5. Determine the inverse of f(x) = 3X - 7 2x + 1 6 . Solve: a) 6x2 = 11x + 10 b) x(x+ 3)=3-5x-x2 c) 2x3 +7x2 -18x- 63=0 d) 7(x -5)2 = 21 e) 2 (x + 6) 3 +54 =0 f) 5Vx8 +7 =31 (to 2 decimal places) 9 ) (3x +5) (x - 6)(7 - 2x) = 0 h ) 2 ( x - 5 ) + 3(4 - 3x) 2 2(5x+ 1) - (2x i) 2x - 5 7 + 4X <_2 _ j determine the equation of linear function such that: a slope is and b c perpendicular to mhf4u john mccrae s>