The functions f(x) and g(x) are shown on the graph. fx) = x²
What is g(x)?
10-
у
g(x)
f(x)

5
(1,4)
+
10
-5
5
-5
-10
O A. g(x) = 4x²
B. g(x) = (3x)2
O C. g(x) = (x+4)2
D. g(x) = (x - 4)2

A

Step-by-step explanation:

it goes through the vertex so that means it is not moved so that rules out C and d

seeing the y value for 1 is 4 that means that it has to be A

A

Step-by-step explanation:

by using the eqn to find for a straight line

slope = ∆y/∆x

(1,4) and (0,0) since both points are in the line

slope = 4

then,

y-y'=slope(x-x')

y-4=4(x-1)

y-4=4x-4

y=4x-4+4

y=4x

but the graph is parabolic thus

y=4x^2

this is how I did it I have no idea to do anything else so hope it works

it would open into a square depending on the type of envelope i’m not sure about the second part