Question

Question 3 Given the function y=x, apply the following transformations and match to the appropriate transformed function. A. y=x²+4 - - Shifty to the right 4 units. Shifty to the left 4 units. B. Y=(x-4)2 - Shift y down 4 units. c.Y= - 4x2 Shift y up 4 units. d.y=x2-4 . • Reflect y across the y-axis and vertically stretch by a factor of 4 4 Vertically stretch y by a factor of 4. E. Y=4x2 F. y=(x +4)

Answer 1

And we have given equation ů) shift y to the right 4 unit - a shift x-quys by 4 unit right so y = (2-4)2 © so obton (B) is correct, y = (x4) 2 (ii ) Shift y to the left a unit a shift ac- quis by 4 unit lebt so ya (2+4)2 -110 Hence option is correct, y=(x+4) 2. (iii) Shift y down a unit a subfact 4 from y so y = x² - 4 Hence Option (D) js correct (10) Shift y up 4 units a Add 4 to y ay=x²+4 Hence option (A) is correct, y=x²+4 (as Reblect y-across the y-gues and vertically stretch by a factor of 4 unit - Reblection of a bunction geross y is given as flay = (+4) a ny = -f(x) = -x2 Now vertically stretch by factor of 4 - y = - 4x2 -ci Hence option (C) is correct, y=-40²

4 vi vertically stretch by a factor of - Amplitude is scaled by 4 so y = 4x² Hence Option (E) is correct, y = 4x²