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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Answer:
There are 2 ways, since we'd chosen 2 fruits
PROBABILITY:
(
=
) or 
METHOD:
In the 2 fruits we took both of them might be pears either maybe one of them can be a pear. The same is possible with the other fruit.
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We are given expression: 
Let us distribute 3/8 over exponents in parenthesis, we get


We can get x and y out of the radical because, we get whlole number 1 for x and y exponents for the mixed fractions.
So, we could write it as.

Now, we could write inside expression of parenthesis in radical form.
![xy\sqrt[8]{2x^{3}x^4y^7}](https://tex.z-dn.net/?f=xy%5Csqrt%5B8%5D%7B2x%5E%7B3%7Dx%5E4y%5E7%7D)
4.572 kilometers is the answer.
Answer:11 hours
Step-by-step explanation:
you would add all three hours and then divide by 3 but first you would have to convert the minutes into hours so it would be 900/60 which is 15 so then you would do 8+10+15 / 3 which gives you 11