If h(x) = ln(x + p), where p > 0, what is the effect of increasing p on
(a) the y-intercept?
- it increases.
- it decreases.
- it does not change.
(b) the x-intercept?
- it moves to the right.
- it does not change.
- it moves to the left.

Step-by-step explanation:

a) y intercept means y value when x = 0

    We have h(x) = ln(x + p)

                     y = ln(x + p)

    Substituting

                     y =   ln(0 + p) = ln p

                     As p increases y intercept also increases.

     y intercept increases.

b) x intercept means x value when y = 0

    We have h(x) = ln(x + p)

                     y = ln(x + p)

    Substituting

                     0 =   ln(x + p)

                      x + p = e⁰

                      x = 1 - p

                     As p increases x intercept decreases.

     x intercept moves to the left.

(x) - (y) = (1 + 4i)

step-by-step explanation:

rectangles are made up of 4 right angles, which means that a side and a base meet perpendicular to one another.   their slopes then have to reflect perpendicular slopes.   perpendicular slopes are opposite reciprocals of one another.   for example, if the slope of one line is +2/3, then the perpendicular slope to that would be -3/2.   so we look for that combination in our choices.

all of them satisfy that condition (so what's the question, i guess? )