What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) =1/6x2– 9?

vertical compression with factor 1/6 and vertical translation down 9 units

Step-by-step explanation:

f(x) = x²

h(x) = 1/6 x² - 9

0<1/6<1 : vertical compression with factor 1/6

-9 : vertical translation DOWN 9 units

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4