Algebra 2 Second Semester Exam Review

Which function represents the given graph?

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• x = 49
• x = 53
• x = 45
• x = 18

            Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.
• No, (x-2) is  not a factor. The remainder is zero.
• Yes, (x-2) is a factor. The remainder is zero.
• No, (x-2) is  not a factor. There is a remainder. 

• 2x³ + 3x + (7/x-4)
• 2x² + 3x + 8 + (7/x-4)
• 2x² + 3x + 8
• 2x² - x + 10 + (6/x-4)

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and x→∞, y→⁻∞
• x → ∞, y→ ∞ and x→⁻∞, y→∞
• x → ∞, y→ ∞ and x→⁻∞, y→ 0
• x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Which of the following equations represents a horizontal stretch of the square root parent function?

• $y=2\sqrt{x}$

• $y=\sqrt{x+2}$

• $y=\frac{1}{2}\sqrt{x}$

• $y=\sqrt{\frac{1}{2}x}$

If 

 $f\left(x\right)=x^3$  
is transformed into the graph of

  $h\left(x\right)=\left(x-6\right)^3-4$ 

which of the following describes the transformation?

• f(x) is vertically stretched by a factor of 4 units to create the graph of h(x)

• f(x) is translated 4 units to the left and 6 units down to create the graph of h(x)

• f(x) is horizontally stretched by a factor of 6 units to create the graph of h(x)

• f(x) is translated 6 units to the right and 4 units down to create the graph of h(x)

Which of the following best represents the equation of a parabola that has an axis of symmetry of x = -1, y-intercept at (0,0), and passes through the point (-4,-16)?

• $y=-2\left(x+1\right)^2+3$

• $y=-\frac{1}{2}\left(x+1\right)^2+3$

• $y=-\frac{1}{2}\left(x+1\right)^2+2$

• $y=-2\left(x+1\right)^2+2$

Write the given equation in exponential form.

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