Quadratic Transformation on Graphs

How did we transform from the parent function?

• reflection across the y-axis, vertical compression by 1/5, right 1, up 7

• reflection across the x-axis, vertical compression by 1/5, right 1, up 7

• reflection across the y-axis, vertical stretch by 1/5, right 1, up 7

• reflection across the y-axis, vertical compression by 1/5, left 1, down 7

• Vertical stretch by 3

• Horizontal stretch by 3

• Horizontal compression by 3

• Vertical compression by 3

• 
• 
• 
• 

The graph of f(x)=x^2 was transformed to create the graph of g(x)=f(x)-9. Which statement about the graphs is true?

• The graph of g is a reflection of the graph of f across the x-axis

• The vertex of the graph of g is 9 units to the right of the vertex of the graph of f

• The graph of g is a reflection of the graph of f across the y-axis

• The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

• A horizontal shift to the right 7.5 units

• A horizontal shift to the left 7.5 units

• A vertical shift down 56.25 units

• A vertical shift down 56.25 units

• 
• 
• 
• 

• 
• 
• 
• 

• The graph of g is narrower than the graph of f

• The graph of g is wider than the graph of f

• The graph of g is 7 units below the graph of f

• The graph of g is 7 units above the graph of f

• The graph of g is a reflection of the graph of f across the x-axis

• The vertex of the graph of g is 9 units to the right of the vertex of the graph of f

• The graph of g is a reflection of the graph of f across the y-axis

• The y-intercept of the graph of g is 9 units above the y-intercept of the graph of f

• 
• 
• 
•