Identify the Parent Function and the Transformation Shown in the Graph

question 108

Multiple Choice

Identify the parent function and the transformation shown in the graph. Write an equation for the function shown in the graph.

• A) Reflection in the \(x\)-axis of \(y = | x | ; y = - | x + 2 |\)
• B) Reflection in the \(y\)-axis of \(y = | x | ; y = - | x - 2 |\)
• C) Reflection in the \(y\)-axis of \(y = | x + 2 | ; y = - | x + 2 |\)
• D) Reflection in the \(x\)-axis of \(y = | x - 2 | ; y = - | x - 2 |\)
• E) Horizontal shift of \(x\)-axis of \(y = | x + 2 | ; y = - | x + 2 |\)

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Definitions:

Synaptic Gap

The synaptic gap, or synaptic cleft, is the small space between neurons across which neurotransmitters travel to transmit signals from one neuron to another.

Dendrite

Tree-like extensions from the neuron cell body that receive signals from other neurons and conduct them toward the cell body.

Dendrites

The branched extensions of a neuron that receive signals from other neurons and convey this information to the cell body.

Nerve Cells

Specialized cells that transmit electrical and chemical signals throughout the nervous system.