In the figure shown, ABCD is a square and triangle CDE is equilateral. What is the degree measure of angle CBE?

angle CBE=15 degrees

Step-by-step explanation:

angle ECD is 60 degrees and EC=CD because equilateral triangle

angle DCB is 90 degrees and CB=CD because square

angle ECD +angle DCB= angle ECB

60+90=150=angle ECB

since triangle ECB has legs EC and CB  equal in length, then it is an isosceles triangle.

so angles CBB and CBE are equal

angle CBE=(180-150)/2

angle CBE=15 degrees

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