Identify the Vertex, Axis of Symmetry, and Intercepts for the Graph

question 231

Multiple Choice

Identify the vertex, axis of symmetry, and intercepts for the graph of the function.
- $$g ( x ) = x ^ { 2 } - 2 x - 15$$

• A) Vertex at \(( - 1 , - 12 )\); axis: \(y = - 12 ; x\)-intercepts: \(( - 3,0 )\) and \(( 5,0 ) ; y\)-intercept: \(( 0 , - 15 )\)
• B) Vertex at \(( - 1 , - 12 )\); axis: \(x = - 1 ; x\)-intercepts: none; \(y\)-intercept: \(( - 3,0 )\)
• C) Vertex at \(( 1 , - 16 )\); axis: \(x = 1 ; x\)-intercepts: \(( - 3,0 )\) and \(( 5,0 ) ; y\)-intercept: \(( 0 , - 15 )\)
• D) Vertex at \(( 1 , - 16 )\); axis: \(y = - 16 ; x\)-intercepts: none; \(y\)-intercept: \(( - 3,0 )\)

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Definitions:

Shield Volcano

A type of volcano that has broad, gently curved slopes constructed mostly of relatively fluid basaltic lava flows.

Scoria Cone

A relatively small type of volcano that is cone shaped and mostly composed of scoria; synonymous with cinder cone.

Volcanic Dome

A dome-shaped volcanic feature, largely composed of solidified lava of felsic to intermediate composition.

Caldera

A large volcanic depression that is typically circular to elongate in shape and formed by collapse of a magma chamber.