Describe the translation from f ( x ) = I x I... to f ( x ) = - I x + 2 I + 12 .Select one:a.Steeper and left 2.b.Left 2, up 12, and opens downward.c.Left 2 and up 12.d.Right 2, up 12, and opens downward.

Transformation of the function y=f(x) Function Transformation f(x)+d vertical translation…

Answered: Describe the translation from f ( x ) =…

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

Related questions

Question

Describe the translation from f ( x ) = I x I... to f ( x ) = - I x + 2 I + 12 .

Select one:

Steeper and left 2.

Left 2, up 12, and opens downward.

Left 2 and up 12.

Right 2, up 12, and opens downward.

Expert Solution

Step 1

Transformation of the function $y = f (x)$

Function	Transformation
f(x)+d	vertical translation upwards d units
f(x)-d	vertical translation downwards d units
f(x+c)	Horizontal translation left c units
f(x-c)	Horizontal translation right c units
f(-x)	Reflection over y axis
-f(x)	Reflection over x-axis
f(bx)	for $\| b \| > 0$ horizontal compression for $0 < \| b \| < 1$ horizontal Stretch
bf(x)	for $\| b \| > 0$ vertical Stretch for $0 < \| b \| < 1$ vertical compression