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the graph of quadratic function f is given. F(x) = -1/2x 2 -2x+6 (a) Find the co

ID: 2911633 • Letter: T

Question

the graph of quadratic function f is given.

F(x) = -1/2x2 -2x+6

(a) Find the coordinates of the vertex and the x- and y-intercepts.

  

(smaller x-value)

(larger x-value)

(b) Find the maximum or minimum value of f.

The  ---Select--- minimum  maximum  value of f is f(x) =  .

(c) Find the domain and range of f. (Enter your answers using interval notation.)

please show step by step

vertex      (x, y) =

x-intercepts      (x, y) =

(smaller x-value)

     (x, y) =

(larger x-value)

y-intercept      (x, y) =

(b) Find the maximum or minimum value of f.

The  ---Select--- minimum  maximum  value of f is f(x) =  .

(c) Find the domain and range of f. (Enter your answers using interval notation.)

domain     range    

please show step by step

Explanation / Answer

Vertex = Maximum Point on the graph = (-2,8)

x intercepts = Points where the graph intersects the x axis.

= (-6,0) and (2,0)

y intercept : Point where the graph intersects the y axis. = (0,6)

Maximum occurs at vertex. So, 8.

Domain = Values on x axis where graph is present = (-infinity, infinity)

Range = Values on y axis where graph is present = (-infinity, 8)