Math  /  Algebra

Question16) If f(x)=2(x1)3f(x)=2-(x-1)^{3}, then the graph that represents the function ff is (a) (b) (c) (d) 17) The rule of the function represented in the opposite figure is f(x)=f(x)= \qquad (a) (x2)2+1(x-2)^{2}+1 (b) (x2)2+1-(x-2)^{2}+1 (c) (x1)2+2-(x-1)^{2}+2 (d) (x+1)2+2(-x+1)^{2}+2 18) The symmetric point of the function f:f(x)=x32f: f(x)=x^{3}-2 is \qquad (a) (0,2)(0,2) (b) (0,2)(0,-2) (c) (2,0)(2,0) (d) (2,0)(-2,0) 19) The vertex of the curve of the function ff where f(x)=(1+x)23f(x)=(1+x)^{2}-3 is \qquad (a) (1,3)(1,3) (b) (1,3)(1,-3) (c) (1,3)(-1,3) (d) (1,3)(-1,-3) 20) If y=f(x)y=f(x) is a real function, then its image by translation 3 units vertically upwards is g(x)=g(x)= \qquad (a) f(x3)f(x-3) (b) f(x+3)f(x+3) (c) f(x)+3f(x)+3 (d) (x)3(x)-3

Studdy Solution
The graph will be a cubic curve that is shifted right by 1 unit, reflected over the x-axis, and shifted up by 2 units.
**Problem 17:**
_ASSUMPTIONS_:
1. We need to find the equation of a parabola given in a figure.

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