Write the number as a product of primes 76

76 = 2 · 38 = 2 · 2 · 19

76 : 2 = 38

38 : 2 = 19

Hey there!!

What are prime numbers?

Ans - Prime numbers are the numbers which has two factors. The factors would be 1 and the number it self

ex : 5 , list down the factors

1 and 5 ( observe that the factors are 1 and the number itself )

Hence, 5 is a prime number.

Note : Always remember that when you want to break a number into it's prime factors, always start with the least prime number.

Now, moving back on:

76 in to prime factors

first divide 76 with 2

=> 76 = 38 × 2

2 is a prime factor , so let's move onto 38

Divide 38 with 2

=> 76 = 19 × 2 × 2

19 is a prime factor

The final answer :

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