Eureka Algebra Cumulative

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

With an absolute value parent function write an equation that vertically shifts up 8

• f(x)= |x| - 8

• f(x)= 8|x|

• f(x)= |x + 8|

• f(x) = |x| + 8

Describe the transformation:
f(3x)

• Horizontal Stretch

• Horizontal Compress

• Vertical Stretch

• Vertical Compress

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5

• Horizontal compress by 5

• Reflect

• Move up 5

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)

• f(-x)

• f^-1(x)

• f(2x)

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)²

• shifted up five units

  reflection in x-axis

• shifted down five units

  reflection in x-axis

• shifted left 5 units

  reflection x-axis

• shifted right 5 units

  reflection x-axis

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, find the correct domain and range.

• D: {1, -3, -4,}

  R: {0, 1, 2, -4}

• D:{0, 1, 2, -4}

  R:{1, -3, -4}

• D:{0, 1, 2, 3, 4}

  R:{1, -3, -4}

• D: {all real numbers}

  R: {(0,1), (1,-3), (2,-4), (-4,1)}

Which coordinate point describes the location of the absolute minimum point of this function?

• (-2, -1)

• (0, -1)

• (-1, -2)

• (-5, 3)

Write the following solution in set builder notation:

• { x is real | x ≥ 2 }

• { x is real | x ≥ -2 }

• { x ≥ -2 }

• { x is real | x ≤ -2 }

Solve for x: (4x-2)(x+2)(x-3)(x+1)=0

• x = .5, x = -2, x = 3, x = -1

• x = 4, x = 2, x = -2, x = 3, x = -1

• x = -.5, x = 2, x = -3, x = 1

• All real numbers