S2 Algebra 1 CR Chapter 5

Sketch each function and identify the requested information.

1) y = -1/3 |x + 1| + 4 What are the vertex, domain, and range of the function?

• Vertex: (-1, 4) Domain: All real numbers Range: y ≤ 4

• Vertex: (1, -4) Domain: x ≥ 0 Range: y ≥ -4

• Vertex: (0, 4) Domain: All real numbers Range: y ≥ 4

• Vertex: (-1, -4) Domain: All real numbers Range: y ≤ -4

Tags

CCSS.HSF-IF.C.7D

Sketch each function and identify the requested information.

2) y = 2/3 |x - 2|

• Vertex: (2, 0) Domain: All real numbers Range: y ≥ 0

• Vertex: (0, 2) Domain: x ≥ 0 Range: y ≥ 2

• Vertex: (2, 0) Domain: x ≥ 2 Range: y ≥ 0

• Vertex: (0, 0) Domain: All real numbers Range: y ≥ 2

Tags

CCSS.HSF-IF.C.7D

Sketch each function and identify the requested information.

3) y = 1/2 |x| - 3 What are the vertex, domain, and range of the function?

• Vertex: (0, -3) Domain: All real numbers Range: y ≥ -3

• Vertex: (0, 3) Domain: x ≥ 0 Range: y ≥ 3

• Vertex: (0, -3) Domain: x ≥ 0 Range: y ≥ -3

• Vertex: (0, 0) Domain: All real numbers Range: y ≥ 0

Tags

CCSS.HSF-IF.C.7D

Sketch each function and identify the requested information.

4) y = -3|x - 2| + 5

• Vertex: (2, 5) Domain: All real numbers Range: y ≤ 5

• Vertex: (-2, 5) Domain: x ≥ 2 Range: y ≥ 5

• Vertex: (2, -5) Domain: All real numbers Range: y ≥ -5

• Vertex: (2, 5) Domain: x ≤ 2 Range: y ≤ 5

Tags

CCSS.HSF-IF.C.7D

For #5 – 6: Which of the following describes the transformations from the parent function y = |x| for the graph from #3?

• The graph is shifted 2 units up and reflected over the x-axis.

• The graph is shifted 3 units to the right and 1 unit down.

• The graph is stretched vertically by a factor of 2 and shifted 1 unit left.

• The graph is compressed horizontally by a factor of 1/2 and shifted 4 units down.

For #5 – 6: Write the transformations from the parent function y = |x| for the given function.
6) The graph from #4.
What are the transformations?

• Shifted 2 units right and 3 units up

• Reflected over the x-axis and shifted 1 unit left

• Stretched vertically by a factor of 2 and shifted 4 units down

• Compressed horizontally by a factor of 1/2 and shifted 5 units up

For #7 – 9, write the explicit form for each arithmetic sequence.
7) 24, 19, 14, 9, …
What is the explicit formula for the sequence?

• an = 24 - 5(n - 1)

• an = 24 + 5(n - 1)

• an = 24 - 4(n - 1)

• an = 24 + 4(n - 1)

Tags

CCSS.HSF.BF.A.2

For #7 – 9, what is the explicit form for the arithmetic sequence 7, 11, 15, 19, …?

• an = 7 + 4(n-1)

• an = 7n + 4

• an = 4n + 3

• an = 11 + 4(n-1)

Tags

CCSS.HSF.BF.A.2

For #7 – 9, write the explicit form for each arithmetic sequence.
9) -7, -5, -3, -1, 1, ...
What is the explicit form of the arithmetic sequence?

• an = -7 + 2(n-1)

• an = -7 - 2(n-1)

• an = -5 + 2(n-1)

• an = -7 + n

Tags

CCSS.HSF.BF.A.2

For #10 – 12, write the domain and range for the graph shown.

• Domain: -4 ≤ x ≤ 2 Range: -3 ≤ y ≤ 2

• Domain: -2 ≤ x ≤ 4 Range: -3 ≤ y ≤ 2

• Domain: -4 ≤ x ≤ 2 Range: -2 ≤ y ≤ 3

• Domain: -3 ≤ x ≤ 2 Range: -4 ≤ y ≤ 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5