Use the graph of a translated function below to answer this question: cubic graph going through turning point of (−2, −3) given the parent function of f(x) = x3, what is the value of h in the translated graph of f(x − h) + k?

To translate x^3 to new function we move it 2 to left to x = -2 then down 3 units to y = -3

New graph is (x - -2)^3 - 3

h = -2

Step-by-step explanation:

Parent function

Translated function

Where,

For the original function, the turning point is at (0,0) and for the translated function, (-2,-3) is the turning point. So x point of -2 should be in place of h, and y point of -3 should be in place of k.

Hence, value of h is -2.

last one.

step-by-step explanation:

last one.

generally speaking, the others follow some sort of pattern that correlates to either linear (looks like a straight line) or sinusoidal (looks like an s).

the last one is just a random cloud of points that doesn't correlate to any particular known order.