Algebra 2 Midterm Review

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f(x) = x².  g(x) = f(x - 4) + 2.  Name the translation that takes f(x) to g(x).

• Four units up, two units right
• Two units left, four units down
• Four units right, two units up
• Four units left, two units up

The growth of a $500 investment can be modeled by the function P(t) = 500(1.03)^t , where t represents time in years. In terms of the monthly rate of growth, the value of the investment can be best approximated by...

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Answer explanation

The graph of the function p(x) is sketched to the left.

Which equation could represent p(x)?

• p(x)=(x²+9)(x−2)

• p(x)=x³−2x²+9x+18

• p(x)=(x²−9)(x−2)

• p(x)=x³+2x²−9x−18

Answer explanation

When you type each function into the calculator, choice 3 looks like the given image and shares the same zeros/roots/x-intercepts.

Given that i is the imaginary unit, the expression (x − 2i)² is equivalent to

• x² + 4

• x² − 4

• x² − 4xi − 4

• x² − 2xi − 4

Answer explanation

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Answer explanation

• {3}

• {−2,3}

Answer explanation

What is the degree?

• Positive
• Negative
• Odd
• Even