Which graph is a translation of f(x) = x^2 according to the rule y = x^2-5

y = A(Bx - C)ⁿ + D

A is a vertical stretch (or shrink if |A| < 1

B is a horizontal shrink by factor of (or stretch if |B| < 1)

C is a shift to the right (or left if C is negative)

D is a shift up (or down if D is negative)

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y = x² - 5     ⇒ D = -5    

shift down 5 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