Question

This Question: 1 pt 20 of 25 (17 complete) Find the function that is finally graphed after the following transformations are applied to the graph of y=x in the order listed. (1) Reflect about the x-axis (2) Shift up 2 units (3) Shift left 7 units

Answer 1

Given : Sol! yo Joc y = 5e x-axis ng axis Reflect about the x-axis : Retain & coordinate and replace y coordinate by ry il y = - de x asis y = - In wool y axis a 70 Shift up 2 units If f i a function 4 upward shift then f(x) + a is of f(x) by a units the

- Tx is of y Thus 2 units upward x + 2 with 11 g graph y = - Ja.+2 1 x-axis aris f(x+a) is Shift reft of units! If f(x) es a function and a 70 then i units shift towards left 7 units shift towards left the of you - Jx & 2 i Thus √x+7 +2 11 y

y axis 2 y = - dar742 12 x axis 6 by Hence f(x) = -55+7 +2 is function obtained applying the transform (1), (2) 4 (3) respectively on the graph of y= Te