Question

Use the calculator to graph the function y = 2x2 25x + 3. What are the coordinates of the turning point of the graph to the nearest hundredth?

Answer 1

(6.25, -75.13)

Explanation:

I did it on Edgenuity

Answer 2

Use the calculator to graph the function y =
`2x^2+ 25x + 3`

In the graph , the coordinates of the vertex is the turning point of the graph.

Given function is the quadratic function. For quadratic function the graph will be U shaped parabola.

There will be only one turning point for parabola

Turning point is the vertex

To find vertex we use formula x=
`(-b)/(2a)`

y =
`2x^2+ 25x + 3`

a=2, b= 35

`x =(-25)/(2*2) =(-25)/(4)` = -6.25

Now plug in
`(-25)/(4)` in f(x)

`y= 2((-25)/(4))^2+ 25((-25)/(4)) + 3`

Take common denominator

`y= (625)/(8)+ ((-625)/(4)) + 3 =(625-1250+24)/(8) =-(601)/(8)` = -75.125

So coordinates of turning point is (-6.25, -75.13)

The graph is attached below.