Quadratic Function Transformation

If the a value is negative, which direction does the parabola open?

• up
• down
• left
• right

Which is the most basic equation, or parent function, of a parabola?

• y = x²
• y = 2x² + 3
• y = -x² -4
• y = -x²

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

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

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

• left 5
• right 5
• up 5
• down 5

Tags

CCSS.HSF.BF.B.3

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

What are the transformations?

y=(x-2)²+4

• Horz shift right 2 Vert shift up 4

• Horz shift left 2 Vert shift up 4

• Horz shift right 2 Vert shift down 4

• Horz shift left 2 Vert shift up 4