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:
He will use 4.
Step-by-step explanation:
1/2 flower-1 sugar*4 = 2 flower - 4 sugar
Answer:
3116000
Step-by-step explanation:
31160*100=3116000
If two sets are same let a and bthen we can say a= b
according to definition of intersection it is function that contains common enements from both setsas a=b so all elemnts are commonso a= a n bor b = a n b
in union the function has all elements of both sets and in set no element repeats so
a u b = aor a u b = b
as a u b = a or b and a n b = a or b so we can conclude here that
a u b = a n b as a = b // defined above
