quadratic transformations

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

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

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Match the equation to its description.

• Reflected over y and down 4
• Reflected over x and down 4
• Reflected over x and right 4 
• Reflected over x and up 4

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

• left 3
• right 3
• left 5
• right 5

Tags

CCSS.HSF.BF.B.3

How does the graph of
f(x) = (x+3)² + 5 compare to the graph of
g(x) = (x - 1)² - 4.
{Hint: Compare their vertexes.)

• f(x) is shifted 4 left and 9 up from g(x)
• f(x) is shifted 4 to the right and 9 down from g(x)
• f(x) is shifted 3 left and 5 up from g(x)
• f(x) is shifted 4 left and 9 down from g(x)

What are the transformations?
y=(x-2)³+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

Tags

CCSS.HSF.BF.B.3

The quadratic parent function is

• y = x
• f(x) = x
• f(x) = x²
• y = √x

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What is the vertex of the following quadratic function
f(x) = 1∕2(x - 2)² + 5

• (-2, -5)
• (2, 5)
• (-2, 5)
• (2, -5)

Tags

CCSS.HSA.SSE.A.2

If a is negative in the function, which way does the parabola

• up

• down

• left

• right

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Does the following function open up or down

y=1/2(x + 2)² - 3

• up

• down