An expression is given. 16
−
14
÷
2
+
(
3
+
2
)
2

What is the value of the expression?

46

46

34

34

26

26

16

9514 1404 393

  34

Step-by-step explanation:

Maybe you want to evaluate ...

  16 - 14 ÷ 2 + (3 +2)²

The parentheses are evaluated first.

  16 -14÷2 +5²

Then the exponential term.

  16 -14÷2 +25

The division is evaluated next.

  16 -7 +25

Finally, the sum is evaluated.

  = 9 +25

  = 34

____

Your calculator can do this arithmetic for you.

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