1. Describe the Transformations
y=(x−1)2

2. Describe the Transformations
y=12(x+4)2−8
Blank #1 -
Blank #2 -
Blank #3 -

3. Match the transformation of the parents functions with the equation of the new function.
y=2(x+4)2−1
y=x2−3
y=(x−7)2+2
y=−(x+5)2

1. translated 3 units down
2. translated 7 units right and 2 units up
3. reflected over the x-axis, then translated 5 units left
4. vertically stretched by a factor of 2, then translated
4 units left and 1 unit down

1. The given function is

The parent function is

The transformation of the form:

is a horizontal shift to the right by h units.

where

This implies that:

is a horizontal shift to the right by 1 unit.

2) The given function is

This also has the parent function to be:

The addition of 4 to x within the parenthesis means a shift of 4 units to the left.

Subtracttion of 8 means a shift of 8 units down.

A multiplier of 12 means a vertical stretch by 12 units.

#1 Translated 4 units left

#2 Shifted 8 units down

#Strectched vertically by a factor of 12

3) We are supposed to match the following functions with the description.

In each case the parent function is

The transformations

The negative means a reflection over x-axis.

'a' is a vertical stretch

'b' is a horizontal shift

'c' is a vertical shift.

1) translated 3 units down.

↓

2. Translated 7 units right and 2 units up.

↓

3. Reflected over the x-axis , then translated 5 units left

↓

4. Vertically stretched by a factor of 2 , translated 4 units left and 1 unit down.

↓

you need to show us the graph.

step-by-step explanation:

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225