The parent function moves 4 units right and 3 units down. This is a translation by the vector.
According to the question,
Transformation ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
maps onto ![\sqrt[3]{x+4} -3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B4%7D%20-3)
. Take f(x) = and f(x+4)=![\sqrt[3]{x+4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B4%7D)
.
f(x) =
f(x+4)=
f(x+4) - 3= - 3
Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.
Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.
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Answer: 5
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
On the horizontal axis, as the discount (%) increases by 1(%), on the vertical axis; the sales increase (%) increases by 3(%).
When the discount is 10%, the sales increase is 32%.
When the discount is 20%, the sales increase is 62%.
20 - 10 = 10
10 × 3 = 30
32 + 30 = 62 (correct)
Answer: 864 tiles
Step-by-step explanation:
Rather than calculating the whole area of bathroom and area of one tile, It is quicker and easier to determine how many rows of tiles that will be needed.
Note that 1 feet = 12 inches
Each tile measures 3 inches on each side.
Length: 9 feet = 9 × 12 = 108 inches
Therefore, 108/3 = 36 tiles will fit along the length.
Width: 6 feet = 6 × 12 = 72 inches. Therefore, 72/3 = 24 tiles will fit along the width.
So, (36 × 24) = 864 tiles will be needed.
Answer: Vertex = (2, -15) 2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
= 3(x² - 4x - 1)
a=1 b=-4 c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry: 
= 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
= 12 - 24 - 3
= -15
So, the vertex is (2, -15) ← PLOT THIS COORDINATE
Now, choose a different x-value. Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
= 0 - 0 - 3
= -3
So, an additional point is (0, -3) ← PLOT THIS COORDINATE
