Use the Equation of the Parabola in Standard Form $x = a ( y - k ) ^ { 2 } + h$

question 13

Multiple Choice

Use the equation of the parabola in standard form $x = a ( y - k ) ^ { 2 } + h$ to determine the coordinates of the vertex and the equation of the axis of symmetry (complete the square if necessary) . Then graph The parabola. $$x = y ^ { 2 } - 4 y + 2$$

• A) vertex \(( - 2,2 )\); Line of symmetry \(y = 2\)
• B) vertex \(( - 2,2 )\); Line of symmetry \(y = 2\)
• C) vertex \(( - 2 , - 2 )\); Line of symmetry \(y = - 2\)
• D) vertex \(( - 2 , - 2 )\); Line of symmetry \(y = - 2\)

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Definitions:

Scatterplot

A type of graph used in statistics to visually display and compare two variables for a set of data.

Variables Correlated

When variables are correlated, it means there is a statistical relationship showing that changes in one variable are associated with changes in another.

Negative Correlation

A relationship between two variables in which one variable increases as the other decreases, indicating an inverse relationship.

Perfect Correlation

A relationship between two variables where one variable can be perfectly predicted from the other, represented by a correlation coefficient of -1 or 1.