Rewrite the Equation in Standard Form $$y = x ^ { 2 } - 14 x + 39$$

question 28

Multiple Choice

Rewrite the equation in standard form. Determine whether the parabola is horizontal or vertical, the direction it opens,
and the vertex.
- $$y = x ^ { 2 } - 14 x + 39$$

• A) \(y = ( x + 7 ) ^ { 2 } + 10\)
• vertical, opens upward, vertex \(( - 7,10 )\)
• B) \(y = ( x + 10 ) ^ { 2 } + 7\)
• vertical, opens upward, vertex \(( - 10,7 )\)
• C) \(y = ( x - 10 ) ^ { 2 } - 7\)
• vertical, opens upward, vertex \(( 10 , - 7 )\)
• D) \(y = ( x - 7 ) ^ { 2 } - 10\)
• vertical, opens upward, vertex \(( 7 , - 10 )\)

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Definitions:

Internal Validity

Internal validity refers to the extent to which a piece of research accurately measures or tests what it set out to measure or test, without being influenced by external factors. High internal validity means that the study design, conduct, and analysis ensure the study's findings are trustworthy.

External Validity

External validity refers to the extent to which the outcomes of a study can be generalized or applied beyond the specific study context or sample, including to other populations, settings, treatment variables, and measurement variables.

Systematic Errors

Biases or errors that consistently affect the results of a study in a specific direction, arising from the research design or methodology.

Inconsistent

Lacking in uniformity, stability, or agreement; often displaying variability.