Which type of model best describes the relationship? A. linear, because the r value for the linear model is closest to 1 B. exponential, because the r value for the exponential model is closest to 0 C. linear, because the rate of change between each pair of points is exactly 520 D. exponential, because the rate of change between each pair of points is 1.98

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

g(x) = x² + 2

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.