The graph of g is the graph of f translated horizontally 3 units to the left. If f(x) = 2x + 1 what is an equation for the function g? Group of answer choices

g(x) = 3(2x + 1)

g(x) = 2(x + 3) + 1

g(x) = 2(x – 3) + 1

g(x) = 2x + 1 + 3

g(x) = 2(x + 3) + 1

Step-by-step explanation:

When we have an horizontal translation of A units (A is a positive real number) to the right, we write this as:

g(x) = f(x - A)

If the translation is to the left, then we have:

g(x) = f(x + A).

In this case, we have a translation to the left, and A = 3, then:

g(x) = f(x + 3)

And we know that:

f(x) = 2x + 1

g(x) = f(x + 3) = 2*(x + 3) + 1 = 2x + 6 + 1 = 2x + 7

g(x) = 2x + 7

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a