Question

1. The quadratic function f(x) has a turning point at (5, -8). If g(x)= (x+7)-3, then at which of the

following does g(x) have a turning point?
(1) (-2,-11)
(3) (-7,-3)
(2) (12, -11)
(4) (12, -5)

Answer 1

The task was to identify the turning point of the linear function g(x) = (x+7) - 3, but linear functions do not have turning points since their slopes are constant; therefore, none of the given options are correct.

Step-by-step explanation:

The question concerns finding the turning point of a function g(x). Given a quadratic function f(x) with a turning point at (5, -8), we are asked to determine the turning point of g(x), where g(x) is defined as g(x) = (x+7) - 3. The turning point of a quadratic function is where its derivative (slope) is zero. However, g(x) as given is a linear function, not a quadratic, and a linear function does not have a turning point because its slope is constant. Thus, none of the options provided corresponds to the turning point of g(x), as there will be none.

Answer 2

The answers is going to be 12, -11