Use the graph of a translated function below to answer this question

given the parent function of f(x) = x3, what is the value of k in the translated graph of f(x - h) + k?

k = -3

k = -2

k = 2

k = 3

The graph of the function has the point of inflection at the origin. From the diagram you can the that the graph has the point of inflection at point (-2,-3). So you should translate the graph of the function 2 units to the left and 3 units down. This translation is acting on function   in the following way:

translation 2 units to the left - translation 3 units down -

Then h=-2 and k=-3.

correct choice is A.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12