Transformations on Quadratic Functions

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²
• f(x) = 5(x + 2)²
• f(x) = (x - 2)² - 5
• f(x) = (x + 2)² + 5

Tags

CCSS.HSG.CO.A.2

Which function has a translation of 3 units to the left?

• f(x) = 3x²+1
• f(x) = (x + 3)² + 1
• f(x) = (x - 3)² + 1
• f(x) = (x + 1)²- 3

Tags

CCSS.HSG.CO.A.2

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1
• f(x) = (x + 7)² + 1
• f(x) = -(x - 1)² - 7
• f(x) = (x + 1)² - 7

Tags

CCSS.HSG.CO.A.2

Which quadratic is the narrowest graph?

• y = 3x²
• y = 4x²
• y = 2x²

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

Tags

CCSS.HSG.CO.A.2

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²
• f(x) = 5(x + 2)²
• f(x) = (x - 2)² - 5
• f(x) = (x + 2)² + 5

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

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Tags

CCSS.HSG.CO.A.2

CCSS.HSF.BF.B.3

How did we transform from the quadratic parent function of y=x² to
y = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

Tags

CCSS.HSG.CO.A.2

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4