Find g(x), where g(x) is the translation 4 units up of f(x) = x2.
write your answer in the form a(x - h)? + k, where a, h, and k are integers.

Step-by-step explanation:

Given:

The function,

A standard parabola with vertex at origin is represented as:

The above function is a standard parabola with vertex at origin and opening upward.

The vertex of the above function is at the origin and the value of is 1.

Now, the function is translated 4 units up.

So, from the rule of function transformations, if a graph is moved up by units, then units is added to the function.

Therefore,

.

Also, the vertex of will be translated 4 units up. So, the co-ordinates of the vertex of will be

Now, express the above function in the vertex form .

We have

This gives,

lockers 1, 4, 9, 16, 25, 40, and 49 are open

i ran through it by the other answer is wrong

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.