Determine the direction in which the graph of the function

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  Question 1: 

Determine the direction in which the graph of the function g(x) = −2x2 − 2x − 15 opens.

            to the right

            to the left

 

            upward

            downward

 

  Question 2

Identify the axis of symmetry of the function f(x) = x2 − 6x + 8.

            x = −4

            x = 4

 

            x = 3

            x = −3

 

  Question 3: 

Identify the vertex of the function h(x) = −2x2 + 10x + 1.

            (5, 1)

            (2.5, 13.5)

 

            (5, 99)

            (2.5, 36.5)

 

  Question 4: 

Identify the domain and range of the function f(x) = 2x2 − 6x − 9.

            D: 
R: y ≤ 13.5

            D: 
R: y ≥ −13.5

 

            D: 
R: y ≤ −13.5

            D: 
R: y ≥ 13.5

 

 

Question 5: 

Identify the graph of the function g(x) = −x2 + x + 2.

 

 

  Question 6: 

Does the function g(x) = −2x2 + 10x + 2 have a minimum or a maximum? Identify its value.

            minimum; −35.5

            minimum; −14.5

 

            maximum; 14.5

            maximum; 35.5

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