Eureka Algebra

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

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

The graph represents a piecewise function. How many pieces make up the function?

• 1

• 2

• 3

• 4

Solve for the values of x:
(2x + 5)(5x - 2) = 0

• { -5/2, -2/5 }

• { -5/2, 2/5 }

• { 5/2, 2/5 }

• { 5/2, -2/5 }

(5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12

(x + 3)(x + 7)

• x² + 10x + 21

• x² + 21

• x² + 4x + 21

• x² − 10x + 21

Simplify (a + b)² =

• a² + 2ab + b²

• a² - b²

• a³ + b³

• a² + ab + b²

Factor Completely: 
 x²+13x+40

• (x+5)(x+8)

• 5x(x+3)

• 3x(x+6)

• x(x-4)