Question

Which function has the greater maximum value f(x)=-2x^2+8x-1,or g(x), the function in the graph

Answer 1

Answer: ( f ) x

Step-by-step explanation: I took the test

Answer 2

Answer: OPTION C

Explanation:

Calculate the x-coordinate of the vertex of the parabola of the function
`f(x)`, with the following formula:

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

In this case:

`b=8\\a=-2`

Substitute values:

`x=-(8)/(2(-2))=2`

Substitute
`x=2` into the funtion
`f(x)` to find the y-coordinate of the vertex. Then:

`y=-2(2)^2+8(2)-1\\y=7`

Therefore, the maximum value of
`f(x)` is:

`y=7`

As you can see, the y-coordinate of the vertex of the parabola
`g(x)` is less than 7, therefore, you can conclude that the function that has the greater maximum value is:

`f(x)`