Write an equation for g(x), a translation of f(x) 4 units to the right and 3 units down. answer choices are : a. g(x) = f(x + 4) + 3 b. g(x) = f(x + 4) − 3 c. g(x) = f(x − 4) − 3 d. g(x) = f(x − 4) + 3

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: