Question

Please help, will fan and medal!
If f(x) = (x + 7)2, which of the following is g(x) based on the translation?

g(x) = (x + 9)^2
g(x) = (x + 5)^2
g(x) = (x + 7)^2 + 2
g(x) = (x + 7)^2 − 2

Answer 1

For clarity, please use the symbol ^ to denote exponention:

x2: NO

x^2 YES

Answer 2

Okay I'm sorry for the confusion

Answer 3

I fixed it @mathmale

Answer 4

I have to go in 2 minutees

Answer 5

I just want the answer hurry

Answer 6

please

Answer 7

Note:- the whole graph is translated down 2 units

Answer 8

The key word in this is translation. You're looking to move the elements some-how on the grid. As such, you're either going to be moving them up or down the Y axis, and/or right or left along the X axis. As such, you need to know will change when you change a value.
Since the equation you're aiming at is y=Ax^2+Bx+C you need to know what each value does to interact with the curve.

The A value changes the width of the curve, the B value changes what value the parabola intersects with the Y axis. C adjusts where on the Y Axis it intersects.

Your two functions are aligned vertically, which means it's a translation along the Y axis, which means the value you change is C.

Since your equation is y=(x+7)^2+0x+0 (these numbers don't need to be expressed) you know that you're adjusting the Y Axis, so you're going to be changing the value of C.
f(x)=(x+7)^2+0x+0
f(x)=Ax^2 +Bx +C

Positive translates upwards, negative translates downwards. Since g(x) is down 2 on the grid, you're going to be subtracting 2.
f(x)=(x+7)^2-2
Any non-variable added at the end of an expression, such as (x^2+3x+10x^5)+2 will translate the equation along the Y Axis.