Question

PLEASE HELP ASAP 50 POINTS ONLY ANSWER IF YOU ARE 100% SURE IT'S CORRECT

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (3, 6), has a vertex at (5, 2), and goes through (7, 6).
What is the equation of the translated function, g(x), if
f(x) = x2?

A: g(x) = (x + 5)2 + 2
B: g(x) = (x + 2)2 + 5
C: g(x) = (x – 2)2 + 5
D: g(x) = (x – 5)2 + 2

Answer 1

D

Explanation:

Answer 2

D

Explanation:

Option 4.

The vertex form of a parabola is

where, a is a constant (h,k) is the vertex.

The given function is

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).

It is given that the vertex of function g(x) is at (5,2).

Substitute h=5 and k=2 in the equation.

g(x) is passed through (3, 6).

Divide both sides by 4.

Substitute a=1 in equation (2).

The function g(x) is g(x) =(x-2)2+5) .

Therefore, the correct option is 4.

hope this helps