7.5 A2 Graphing Transformations

  Determine the equation for the red graph.

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

Which choice correctly shows the vertical shift in the graph?

• (x-2)³

• (x+2)³

• x³ + 2

• x³ - 2

Choose the correct translated function.

• f(x)= -(x+1)²+4
• f(x)= (x-1)²-4
• f(x)= -(x+1)²-4
• f(x)= -(x+4)²-1

What is the axis of symmetry?

• x = - 4
• x = - 2
• x = 0
• x = 4

Tags

CCSS.HSF-IF.C.7A

What is the vertex?

• (0, - 1)
• (0, 0.5)
• (-1, 0)
• (0.5, 0)

Does the quadratic have a max/min vertex, and does the parabola open up/down?

• max/ opens down
• min/ opens up
• max/ opens up
• min/ opens down

What are the local maxima of this graph?

• local maximum at (2.2, 3.9)
• local maximum at (-8, 5)
• local maximum at (5, -8)⋃(3.9, 2.2)
• local maximum at (-8, 5)⋃(2.2, 3.9)

When is this function increasing?

• −2.5 < x < 2.5
• 0 < x < 5
• 0 < x < 55
• −5 < x < 0

Over what interval is this function constant?

• −5 < x < ∞
• −3 < x < 4
• 4 < x < ∞
• −5

Tags

CCSS.HSF-IF.C.7B

List the types of intervals that the graph demonstrates in order.

• decreasing, constant, increasing, constant
• increasing, decreasing, constant
• increasing, constant, increasing, constant
• increasing, constant, decreasing, constant

Tags

CCSS.HSF.IF.B.4