Transformations of Functions

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2
• x² - 2
• (x + 2)²
• (x - 2)²

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

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

Tags

CCSS.HSF.BF.B.3

f(x) = 5x² + 2

• Stretch of 5
  Up 2
• Shrink of 5
  Up 2
• Stretch of 5
  Down 2
• Shrink of 5
  Down 2

• g(x)=2x²
• g(x)=0.5x²
• g(x)=x²+2
• g(x)=(x+2)²

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a vertical stretch by a factor of 3?

• A
• B
• C
• D

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a vertical shrink by a factor of 1/3?

• A
• B
• C
• D

• up 2

• right 2

• multiply y's by 2

• left 2

What is the graph of quadratic function?

• a. circle

• b. square

• c. parabola

• d. ellipse

Tags

CCSS.HSF-IF.C.7A

The highest or lowest point on a quadratic is called the...

• Max
• Vertex
• Axis of Symmetry
• Intercept