Answer:
f(x) has moved:
4 units in the positive y direction i.e upwards
3 units in the positive x direction
Step-by-step explanation:
to get g(x), f(x) has undergone the following transformations
f(x) = x³
f1(x) = x³ + 4 (translation of 4 units in the positive y direction i.e upwards)
f2(x) = g(x) = (x-3)³ + 4 (translation of 3 units in the positive x direction i.e towards the right)
ANSWER

EXPLANATION
Method 1
Vertically opposite angles are equal, therefore

This implies that,

We simplify to get,

Dividing through by 3 gives,

Also,

This implies that,

We simplify the right hand side to get,

We divide both sides both sides by 2 to get,



Method 2
Angles on straight line sums to 180°.

This implies that,




Also,






Answer:
f(1)=-3
f(-4)=-11
f(6)=0
Step-by-step explanation:
Use the correct formula depending on what (x) equals.
When (x=1) you use the second formula because 1 is greater than -2 but less than 4
When (x=-4) you use the first formula because -4 is less than -2
When (x=6) you use the third formula because 6 is greater than 4
That would be vertical angles if they are angle opposite each other when 2 lines intersect.