Question

Which of the following is the maximum value of the equation y=-x^2+2x+5

a. 5

b. 6

c. 2.

d. 1

Answer 1

Answer: b. 6

Explanation:

The maximum value is the y-value of the vertex.

Step 1: Find the x-value (aka Axis Of Symmetry) using the formula:
`x=(-b)/(2a)`

`x=(-(2))/(2(-1))=(-2)/(-2)=1`

Step 2: input the x-value (above) into the given equation to solve for y:

`y=-x^2+2x+5\\y=-(1)^2+2(1)+5\\y=-1 + 2 + 5\\y = 6`