Find the Vertex of the Graph of the Quadratic Function $f ( x ) = - 2 x ^ { 2 } + 24 x - 70$

question 204

Multiple Choice

Find the vertex of the graph of the quadratic function. Find any intercepts and graph the function.
- $f ( x ) = - 2 x ^ { 2 } + 24 x - 70$

• A) Vertex: \(( - 6,2 )\); \(x\)-intercepts: \(( - 5,0 )\) and \(( - 7,0 )\); y-intercept: \(( 0 , - 70 )\)
• B) Vertex: \(( - 2 , - 6 )\); \(x\)-intercepts: none; y-intercept: \(( 0 , - 70 )\)
• C) Vertex: \(( 6,6 )\); \(x\)-intercepts: \(( 6 \pm \sqrt { 3 } , 0 )\); y-intercept: \(( 0 , - 70 )\)
• D) Vertex: \(( 6,2 )\); \(x\)-intercepts: \(( 5,0 )\) and \(( 7,0 )\); \(y\)-intercept: \(( 0 , - 70 )\)

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Definitions:

Variability

The extent to which data points in a statistical distribution or data set diverge from the average or mean.

Criterion Variables

Outcome variables that are used to assess the effects of manipulations or treatments in an experiment.

Predictor Variables

Predictor variables are the independent variables in a study that are used to predict the outcome of the dependent variable(s).

Scatterplot

Graphic representation of each individual's scores on two variables. The score on the first variable is found on the horizontal axis and score on the second variable is found on the vertical axis.