Quadratic Function Transformations

Describe the transformation of y = x² + 4

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Compare the function y = 0.3x² to the parent function y = x²

• Wider
• Narrower

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9

Compare the function y = 5x² to the parent function y = x²

• Wider
• Narrower

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.9

How did we transform from the parent function?
y = x² + 2

• horizontal shift up
• vertical shift up
• horizontal shift down
• vertical shift down

Tags

CCSS.HSF.BF.B.3

In the graph of the function y=x², which describes a vertical shift in the parent function up 5 units?

• y = x² - 5
• y = x² + 5
• y = (x - 5)²
• y = (x + 5)²

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

What is the axis of symmetry in a function?

• The transformation of the graph

• The vertex, represented by (h,k)

• A vertical line that passes through the vertex and divides the parabola in half

• y = h

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

How did we transform from f(x) =x² 
to
g(x) = -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.HSF.BF.B.3

What equation represents the quadratic function?

• y = (x - 8)²
• y = (x + 8)²
• y = x² - 8
• y = x² + 8

Tags

CCSS.HSF-IF.C.7A