y=(1/2)x (the first option)
Step-by-step explanation:
g(x) = x² + 2
step-by-step explanation:
it is given that the graphs are the same shape.
the only difference is that the red graph is 2 units higher than the blue graph.
that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.
hence
g(x) = f(x) + 2
or
3< x< 5
|x - 4| < 1
there are two solutions, one positive and one negative. remember to flip the inequality when taking the negative solution
x-4 < 1 x-4 > -1
add 4 to each side
x-4+4 < 1+4 x-4+4 > -1+4
x< 5 x> 3