Quadratic Transformations

If the function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

• The graph of g(x) is wider than the graph of f(x)

• The graph of g(x) is narrower than the graph of f(x)

• The graph of g(x) is shifted 5 units up above f(x)

• The graph of g(x) is shifted 5 units down below f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9

For the functions h and f, what statement is true if h(x) = f(x + 14) - 12?

• The graph of h is the result of the graph of f being translated right 14 units and down 12 units

• The graph of h is the result of the graph of f being translated left 14 units and down 12 units

• The graph of h is the result of the graph of f being translated right 14 units and up 12 units

• The graph of h is the result of the graph of f being translated left 14 units and up 12 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

How does the function g(x) = -x² compare the the parent function f(x)?

• The new function g(x) is reflected vertically across the x-axis

• The new function g(x) is reflected horizontally across the y-axis

• The new function g(x) has all the x-values multiplied by a -1

• The new function g(x) has been shifted 1 unit down

Which of the following shows a vertical compression of the parent function?

• y = 2x²

• y = 3/5x²

• y = -4x²

• y = -x²

Tags

CCSS.HSF.BF.B.3

Which of the following shows a vertical stretch of the parent function?

• y = -5x²

• y = -x²

• y = 2/5x²

• y = -3/4x²

Tags

CCSS.HSF.BF.B.3

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Match the equation to its description.

• Up 2
• Down 2 
• Left 2
• Right 2 

How did we transform from y=x^2?
y = -3x²

• reflection and horizontal compression
• reflection and vertical stretch
• horizontal stretch
• reflection and vertical compression

Which quadratic function is represented by the graph?

• y = (x - 4)² + 5
• y = (x + 4)² + 5
• y = -(x - 4)² + 5
• y = -(x + 4)² + 5

What is the domain of the function?

• D:{ x is greater than or equal to 3}
• D:{x is less than or equal to 3}
• D:{all real numbers}
• D:{ x is all real numbers between and including -1 and 5}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5