If you horizontally shift the square root parent function, f(x) = , left four units, what is the equation of the new function?

ANSWER

EXPLANATION

The parent square root function is

The translation

Will shift the graph of f(x) k units to left.

The translation

will shift the graph of f(x) to the right by k units.

Therefore if f(x) is shifted 4 units to the left its new equation is:

c

step-by-step explanation:

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