Answer:
Horizontal shift of 4 units to the left.
Vertical translation of 8 units downward.
Step-by-step explanation:
Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:
The vertex form of the quadratic function is y = a(x - h)² + k
Where:
The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).
The axis of symmetry occurs at <em>x = h</em>.
<em>a</em> = determines whether the graph opens up or down, and makes the graph wider or narrower.
<em>h</em> = determines how far left or right the parent function is translated.
<em>k</em> = determines how far up or down the parent function is translated.
Going back to your quadratic function,
y = (x + 4)² - 8
- The vertex occrs at (-4, -8)
- a is assumed to have a value of 1.
- Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.
- Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.
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5,25-5,58=0,33
The answer is $0,33
<h3>A median.</h3>
The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number.
When there are two middle numbers we average them.
We have:
3.9, 7, 3.3, 1, 1.4, 1.7, 2.1, 3.3, 5.2
Let's sort the numbers from the smallest to the largest
1, 1.4, 1.7, 2.1, <u>3.3</u>, 3.3, 3.9, 5.2, 7
<h2>The median is 3.3</h2>
The base is from 2 to 7, which is 5 units long.
The height is from 1 to 8, which is 7 units tall.
Using the Pythagorean theorem we can calculate the hypotenuse:
Hypotenuse = √5^2 +7^2=
√25 +49=
√74=
8.6
Perimeter = 5 + 7 + 8.6 = 20.6
The answer is C.
Answer:
3 gallons
Step-by-step explanation:
Length of the rectangular wall = 23.6 feet
Width of the rectangular wall = 19.2 feet
Surface area of the wall = 23.6 × 19.2
= 453.12 square feet
∵ 200 square feet of the wall is covered by the amount of paint = 1 gallon
∴ 1 square feet of the wall will be covered by the amount of paint = 
gallons
∴ 453.12 square feet will require the amount of paint = 
= 2.2656 gallons
Therefore, minimum 3 gallons will be required to paint the wall.
