Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2? g(x) = –9(x + 1)2 – 7 g(x) = 4(x – 3)2 + 1 g(x) = –3(x – 4)2 – 6 g(x) = 8(x – 3)2 – 5

Step-by-step explanation:

Given that parent function represents a parabola, the standard form with a vertex at (h,k) is now described:

Where:

, - Independent and dependent variables, dimensionless.

, - Horizontal and vertical component of the vertex, dimensionless.

- Vertex factor, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, there is an absolute maximum).

After reading the statement of the problem, the following conclusion are found:

1) New function must have an absolute minimum:

2) Transformation to the right: .

3) Transformation downwards:

Hence, the right choice must be .

this is false ^.^ lol