Answer the Question $f ( x ) = - ( x - 1 ) ^ { 2 } + 6$

question 153

Short Answer

Answer the question.
-How can the graph of $f ( x ) = - ( x - 1 ) ^ { 2 } + 6$ be obtained from the graph of $y = x ^ { 2 } ?$
A) Shift it horizontally 1 units to the left. Reflect it across the x -axis. Shift it 6 units up.
B) Shift it horizontally 1 units to the right. Reflect it across the x -axis. Shift it 6 units up.
C) Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units up.
D) Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units down.

• A) Shift it horizontally 1 units to the left. Reflect it across the x -axis. Shift it 6 units up.
• B) Shift it horizontally 1 units to the right. Reflect it across the x -axis. Shift it 6 units up.
• C) Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units up.
• D) Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units down.

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Definitions:

Beta

An indicator of how much a stock's price movement deviates from the general market, where a beta greater than 1 signifies more volatility than the overall market.

Required Return

The minimum rate of return on an investment that investors expect or require, taking into account the risk level of the investment.

Risk-Free Rate

The theoretical return on investment with no risk of financial loss, typically represented by the yield on government bonds.

Real Risk-Free Rate

The rate of return on a risk-free investment, such as government treasury bills, adjusted for inflation, representing the true earning power of the investment.