B1 Algebra 1 Classwork 01/10/25

Which is the mathematical symbol for absolute value?

Answer explanation

The absolute value of a number is represented by the symbol \(\left|x\right|\). This notation indicates the distance of \(x\) from zero on the number line, regardless of direction.

Tags

CCSS.6.NS.C.7C

Describe the transformation from the parent function.

• left 3, up 2

• right 3, up 2

• left 3, down 2

• right 3, down 2

Answer explanation

The transformation 'right 3, up 2' indicates a shift of the parent function 3 units to the right and 2 units up on the graph, which is the correct choice.

Answer explanation

The function f(x) = -2|x + 3| - 2 is in vertex form. The vertex occurs at the point where the expression inside the absolute value is zero, which is x = -3. Plugging this into the function gives f(-3) = -2, so the vertex is (-3, -2).

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

Answer explanation

The correct function is \( f(x) = |x+2| - 4 \) because it has a vertex at (-2, -4) and opens upwards, matching the characteristics of the graph. The other options have different transformations or vertices.

Tags

CCSS.HSF-IF.C.7D

Which absolute value function shows the following transformations?

Opening downward

Horizontal shift right 2 units

Vertical shift down 7 units

Answer explanation

The function y=-|x-2|-7 opens downward due to the negative sign, shifts right 2 units (x-2), and shifts down 7 units (-7). This matches all the given transformations.

• A = 4
  H = 2

  K = -3

• A = 4
  H = -2
  K = -3

• A = - 3
  H = 4
  K = 2

• A = -3
  H = -2
  K = 4

Answer explanation

In the equation f(x) = 4|x + 2| - 3, A is the coefficient of the absolute value, which is 4. H is the value that makes the expression inside the absolute value zero, so H = -2. K is the vertical shift, which is -3.

Which of the following is the graph of an absolute function?

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Tags

CCSS.HSF-IF.C.7D

What is the equation of the absolute value function?

• f(x)= |x+4|

• f(x)= |x-4|

• f(x)= |x| + 4

• f(x)= |x| - 4

Answer explanation

The absolute value function is typically expressed as f(x) = |x|. The correct choice, f(x) = |x| + 4, represents a vertical shift of the basic absolute value function upwards by 4 units.

Tags

CCSS.HSF-IF.C.7D

Choose the graph that matched the equation.
y = |x - 1|

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Tags

CCSS.HSF-IF.C.7D

Which represents the absolute value of 10?

• 10

• -10

• -1/10

• 11

Answer explanation

The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the absolute value of 10 is 10, making it the correct choice.

Tags

CCSS.6.NS.C.7C