If Z is the standard normal variable, then what is the P(Z < -1.23) ?​

Step-by-step explanation:

If Z is following a standard normal distribution, then P(Z>0) would be 0.5. Standard normal distributions are symmetrical with a mean of 0, so half of the distribution will be above 0 (i.e., 0.5).

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