Math 3 Apps 2.1-2.2 HW Quiz

Identify the transformations. 

• horizontal shift to the left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical shrink by a factor of 3
• horizontal shift to the left 2 and vertical shrink by a factor of 3

g(x)=-f(x)
Describe the transformation to f(x) that results in g(x).

• f(x) has been reflected over the x-axis.
• f(x) has been reflected over the y-axis.

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

• The graph of f is shifted 12 units to the right to create the graph of g.

• The graph of f is shifted 12 units down to create the graph of g.

• The graph of f is shifted 12 units up to create the graph of g.

• The graph of f is shifted 12 units to the left to create the graph of g.

A student graphed f(x) = x and g(x) = f(x - 15). Which statement is true?

• The graph of f is shifted 15 units to the right to create the graph of g.

• The graph of f is shifted 15 units down to create the graph of g.

• The graph of f is shifted 15 units up to create the graph of g.

• The graph of f is shifted 15 units to the left to create the graph of g.

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

• Reflect over y-axis
  Shifted down 10 units
  Shifted left 6 units
• Reflect over x-axis
  Shifted up 10 units
  Shifted left 6 units
• Reflect over y-axis
  Shifted up 10 units
  Shifted right 6 units
• Reflect over x-axis
  Shifted down 10 units
  Shifted left 6 units

Which of the following represents a function that has shifted 7 units to the left?

• $f\left(x+7\right)$

• $f\left(x-7\right)$

• $f\left(x\right)+7$

• $f\left(x\right)-7$

Which of the following represents a functions that has been vertically stretched by a factor of 3?

• $3f\left(x\right)$

• $\frac{1}{3}f\left(x\right)$

• $f\left(3x\right)$

• $f\left(\frac{1}{3}x\right)$

Which of the following represents a function that has been shifted 4 units down?

• $f\left(x-4\right)$

• $f\left(x+4\right)$

• $f\left(x\right)-4$

• $f\left(x\right)+4$

Which of the following represents a function that has been reflected over the y-axis?

• $-f\left(x\right)$

• $f\left(-x\right)$

Which of the following represents a function that has been horizontally compressed by a factor of $\frac{1}{4}$  ?

•  $4f\left(x\right)$  

•  $\frac{1}{4}f\left(x\right)$  

•  $f\left(\frac{1}{4}x\right)$  

•  $f\left(4x\right)$