Question

pic of question linked it also states on the bottom "For this question give all rational answers as fractions or integers and all irrational answers rounded to 2 decimal places."

Answer 1

Given:

`g(x)=2x^2-4x-2`

Required:

To draw the graph, and then by using the graph we have to fill the blanks.

Step-by-step explanation:

The graph of the given function is,

Vertex of g(x) is : Vertex" is a synonym for a node of a graph, i.e., one of the points on which the graph is defined and which may be connected by graph edges.

Therefore, from the above graph the vertex is

(1,-4).

The x-intercepts of g are : (-0.414.0,0) and (2.414,0)

The y-intercept is : (0,-2)

Equation of the line of symmetry of g is :

`x=-(b)/(2a)`

Here, a=2

b=-4

Therefore,

`\begin{gathered} x=-((-4))/((2)(2)) \\ \\ x=(4)/(4) \\ \\ x=1 \end{gathered}`

g has a (maximum/minimum) of: g has minimum at (1,-4).

Final Answer:

Vertex of g(x) is : (1,-4)

The x-intercepts of g are : (-0.414.0,0) and (2.414,0)

The y-intercept is : (0,-2)

Equation of the line of symmetry of g is : x=1

g has a (maximum/minimum) of: g has minimum at (1,-4).