Algebra 2 Practice Final 2021

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

Which function is graphed?

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|

Find the inverse of
f(x) = 1/4x - 7

• f^-1(x) = 4x + 7
• f^-1(x) = -4x + 28
• f^-1(x) = -4x - 7
• f^-1(x) = 4x + 28

If the orange parabola is f(x) and the blue line is g(x) which is NOT true?

• g(-0.5)=f(-0.5)

• f(1.5)=g(1.5)

• f(1) > g(1)

• f(-2) > g(-2)

For what interval (x values) does the function both increase and decrease?

• [-3, 3]

• [0, 4]

Write in slope intercept form
5x - 3y = -9

• y = (5/3)x - 3
• y = (5/3)x + 9
• y = (5/3)x + 3
• y = (3/5)x + 3

(5x-2)(x²-3x+6)

• 5x³ - 17x² +24x +12
• 5x³ + 17x² - 24x +12
• 5x³ - 13x² + 24x +12
• 5x³ -17x² +36x - 12

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

Factor the Polynomial

x³ +6x² -4x -24 and find the ZEROS (box method first)

• (2,0)(-2,0) and (-6,0)

• (4,0)(-4,0) and (2,0)

• (1,0)(2,0) and (3,0)

• Not factorable

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