SOLUTION: Find the x-coordinate of the vertex, the y-coordinate of the vertex. f(x) = -2x^2 + 2x + 3

Question 317502: Find the x-coordinate of the vertex, the y-coordinate of the vertex.
f(x) = -2x^2 + 2x + 3
Found 2 solutions by nyc_function, nerdybill:
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
To find x, use x = -b/2a, where a = -2 and b = 2 taken from the given function.
x = -2/2(-2)
x = -2/-4
x = 2/4
x = 1/2
To find the y-coordinate, replace x with 1/2 and solve for y.
f(1/2) = -2(1/2)^2 + 2(1/2) + 3
f(1/2) = -1/2 + 4
f(1/2) = 7/2
We know that f(x) = y.
So, x = 1/2 and y = 7/2
Done!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Find the x-coordinate of the vertex, the y-coordinate of the vertex.
f(x) = -2x^2 + 2x + 3
.
x-coordinate:
x = -b/(2a)
x = -2/(2 * (-2))
x = -2/(-4)
x = 1/2
.
y-corordinate:
Plug above into equation:
f(x) = -2x^2 + 2x + 3
f(1/2) = -2(1/2)^2 + 2(1/2) + 3
f(1/2) = -2(1/4) + 1 + 3
f(1/2) = -1/2 + 1 + 3
f(1/2) = -1/2 + 4
f(1/2) = -1/2 + 8/2
f(1/2) = 7/2
y = 7/2

RELATED QUESTIONS
f(x)=-2x^2+4+1 find the x-coordinate of the... (answered by lwsshak3)
Find the y-intercept, the equation of the axis of symmetry, and the x-coordinate of the... (answered by Alan3354)
find the vertex of the x and y coordinate, line of symmetry and maximum of f(x)... (answered by CharlesG2,Edwin McCravy)
f(x)=-2x^2+2x+1 the x coordinate of the vertex is? The y coordinate of the vertex is?... (answered by nerdybill)
Find the y-intercept, the equation of the axis of symmetry, and the x-coordinate of the... (answered by checkley77)
Find vertex, line of symmetry, max/min value of the quadratic function, and graph the... (answered by solver91311)
let f(x)=-1/2x^2+2x+3 find and graph: a) the x-coordinate of vertex b) the... (answered by Fombitz)
Using {{{f(x)=-2x^2+2x+8}}}, find the x-coordinate of the vertex and the equation of the... (answered by jim_thompson5910)
This is one question with different parts, please help. Thank you Find the vertex, line... (answered by stanbon)