Graph the Function $f ( x ) = x ^ { 2 } - 5 x + 1$

question 184

Multiple Choice

Graph the function. Identify the vertex, x-intercepts, and the equation for the axis of symmetry.
- $f ( x ) = x ^ { 2 } - 5 x + 1$

• A) vertex: \(\left( \frac { 5 } { 2 } , - 5 \frac { 1 } { 4 } \right)\) \(x\)-intercepts: \(\left( \frac { 5 \pm \sqrt { 21 } } { 2 } , 0 \right)\) axis of symmetry: \(x = \frac { 5 } { 2 }\)
• B) vertex: \(( 0,1 )\) \(\mathrm { x }\)-intercepts: none axis of symmetry: \(x = 0\)
• C) vertex: \(( 2 , - 9 )\) \(x\)-intercepts: \(( - 1,0 )\) and \(( 5,0 )\) axis of symmetry: \(\mathrm { x } = 2\)
• D) vertex: \(\left( - \frac { 5 } { 2 } , - 5 \frac { 1 } { 4 } \right)\) x-intercepts: \(\left( \frac { - 5 \pm \sqrt { 21 } } { 2 } , 0 \right)\) axis of symmetry: \(x = - \frac { 5 } { 2 }\)

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Definitions:

Proportions

Proportions refer to the relationship in size between different parts of an object, artwork, or architectural design, ensuring harmony and balance in the visual appearance.

Aesthetics

The branch of philosophy that addresses the nature of beauty, especially in art.

Hierarchy Of Scale

A principle in art and architecture where the size of figures is determined by their importance relative to other figures, rather than by their location or physical proximity, commonly used in ancient, medieval, and non-Western art.

Sinuous

Describes shapes or movements that are winding or curving in a graceful and smooth manner.