<span>Left & Right affect the h,
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).
1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. </span><span>shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. </span><span>vertical shrink by a factor of 1/3 → y =

|x|
4. </span><span>vertical stretch by a factor of 3
→ y = </span><span>3 |x|</span>
Answer:
x =
± 
Step-by-step explanation:
Given
x² - 7x + 9 = 0 ( subtract 9 from both sides )
x² - 7x = - 9
Solve using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2( -
)x +
= - 9 +
(x -
)² =
( take the square root of both sides )
x -
= ±
= ±
( add
x =
±
= 
Answer:
no
Step-by-step explanation:
if it was a factor then, 2-3x = 0
x= 2/3
putting x = 2/3 in eqn,
(2/3)^2 - 2/3 +1 =7/9....so it is not a factor
Answer: ![\bold{\sqrt[4]{2} }](https://tex.z-dn.net/?f=%5Cbold%7B%5Csqrt%5B4%5D%7B2%7D%20%7D)
<u>Step-by-step explanation:</u>
![\dfrac{1}{2}\sqrt[4]{32} =\dfrac{1}{2}\sqrt[4]{2\cdot 2\cdot 2\cdot 2\cdot 2}=\dfrac{1}{2}\cdot 2\sqrt[4]{2}=\boxed{\sqrt[4]{2} }](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Csqrt%5B4%5D%7B32%7D%20%3D%5Cdfrac%7B1%7D%7B2%7D%5Csqrt%5B4%5D%7B2%5Ccdot%202%5Ccdot%202%5Ccdot%202%5Ccdot%202%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%202%5Csqrt%5B4%5D%7B2%7D%3D%5Cboxed%7B%5Csqrt%5B4%5D%7B2%7D%20%7D)
1) 0.48 3 2) 7/8 3) 7 1/8