Quad Trans #1

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 statements about the function j(x) = -2(x + 3)² + 9 is FALSE?

• The function j(x) is shifted up 9 units compared to the parent function

• The function j(x) is narrower than the parent function

• The function j(x) is shifted right 3 units compared to the parent function

• The function j(x) is reflected across the x-axis compared to the parent function

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

How did we transform from the parent function?
y = -1/2(x - 1)² + 3

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

How did we transform from y=x² to

y = (3x)²

• vertical stretch

• vertical compression

• horizontal stretch

• horizontal compression

How did we transform from y=x² to

y = (0.25x)²

• vertical stretch

• vertical compression

• horizontal stretch

• horizontal compression

Which quadratic function is represented by the graph?

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

Tags

CCSS.HSF-IF.C.7A