Quadratic Transformations

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

The axis of symmetry of this parabola is...

• y=4
• y=-4
• x=4
• x=-4

Tags

CCSS.HSF-IF.C.7A

Does the equation open up or down? 
Y = -3x² +7x - 2

• up
• down
• both 
• neither

Tags

CCSS.HSF-IF.C.7A

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

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

• reflection and vertical shift down
• reflection and vertical stretch
• horizontal stretch
• reflection and vertical compression

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function

f(x)= x²

g(x)= -½x²

• Reflected over the x-axis and vertically compressed by a factor of ½

• Vertex moves 2 down

• Reflected over the x-axis and moved 2 down

• Reflected over the x-axis and vertically stretched by a factor of 2

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function

f(x)= x²

g(x)= x² + 4x + 1

• Moved 3 to the right and 2 up

• Moved 2 to the left and 3 down

• Stretched by a factor of 3 and moved 2 to the left

• Compressed (shrunk) by a factor of 2 and moved 3 down

Write the equation for g(x), the parabola in blue.

f(x)= x²

• g(x)= x² −3

• g(x)= -¼x²

• g(x)= -x²

• g(x)= -4x²

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is/are the tranformation(s) of the blue function? The red is the parent function.

• horizontally translated right, vertically translated up.

• horizontally translated left, vertically translated down

• horizontally translated right, vertically translated down

• horizontally translated left, vertically translated up

If the red curve is the parent function, describe the transformations of the blue curve.

• reflected over the x-axis, horizontally translated right, vertically translated down.

• reflected over the x-axis, horizontally translated left, vertically translated up

• reflected over the x-axis, horizontally translated left, vertically translated down

• reflected over the x-axis, horizontally translated right, vertically translated up