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:
x < 6
Step-by-step explanation:
Subtract 4 form both sides
Multiply both sides by 3
Height/width=5/19
5/19=2/x
(5)(x)=(19)(2)
5x=38
5/5x=38/5
x=38/5in or 7.6in
The number is 17 hope it helps
Answer:
D. making loans to businesses for capital investment.
Step-by-step explanation:
We can define the responsibilities of investment bans like- these banks specialize in complex financial transactions like underwriting.
These also play the role of broker or financial adviser for institutional clients. These banks helps organisations to raise capital.
These also help companies and governments issue new securities.
So, the answer is -
Investment banks generally provide all the following services except: making loans to businesses for capital investment.
