Find the Vertex and Axis of Symmetry of the Graph $( 1,4 )$

question 31

Multiple Choice

Find the vertex and axis of symmetry of the graph of the function.
-f(x) =-x²+2x+3

• A) vertex \(( 1,4 )\) intercepts \(( 3,0 ) , ( - 1,0 ) , ( 0,3 )\)
• B) vertex \(( - 1 , - 4 )\) intercepts \(( - 3,0 ) , ( 1,0 ) , ( 0 , - 3 )\)
• C) vertex \(( 1 , - 4 )\) intercepts \(( 3,0 ) , ( - 1,0 ) , ( 0 , - 3 )\)
• D) vertex \(( - 1,4 )\) intercepts \(( - 3,0 ) , ( 1,0 ) , ( 0,3 )\)

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Definitions:

One-tail

A type of hypothesis test that determines the significance of one end, or tail, of the data distribution.

Two-tail

Pertains to hypothesis tests that consider extreme outcomes in both tails of the distribution, allowing for tests of deviation in two opposite directions.

7-point Scale

A survey response scale that offers seven possible answers, often used to measure opinion or intensity.

Significance Level

The probability threshold below which the null hypothesis is rejected in hypothesis testing, often denoted as alpha.