SOLUTION: Quadratic Function f(x)=-2x^2+2x+6 The x-coordinate of the vertex is? The y-coordinate of the vertex is? The equation of the line of symmetry is? The maximum/minimum of f(x) is

Question 517710: Quadratic Function f(x)=-2x^2+2x+6
The x-coordinate of the vertex is?
The y-coordinate of the vertex is?
The equation of the line of symmetry is?
The maximum/minimum of f(x) is?
The value, f(1/2)=13/2 is?
Is it a maximum or a minimum?

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Quadratic Function f(x)=-2x^2+2x+6
The x-coordinate of the vertex is?
x = -b/(2a)
x = -2/(2(-2))
x = -2/(-4)
x = 1/2
.
The y-coordinate of the vertex is?
set x=1/2 and solve for y:
y=-2x^2+2x+6
y=-2(1/2)^2+2(1/2)+6
y=-2(1/4)+1+6
y=-1/2+7
y=-1/2+14/2
y=13/2
.
The equation of the line of symmetry is?
x = 1/2
The maximum/minimum of f(x) is?
6.5
.
The value, f(1/2)=13/2 is?
Is it a maximum or a minimum?
By inspecting the original equation:
f(x)=-2x^2+2x+6
Since the coefficient associated with the x^2 is NEGATIVE
we now know it is a parabola that opens downwards.
therefore 13/2 is the MAXIMUM
RELATED QUESTIONS
Find vertex, line of symmetry, max/min value of the quadratic function, and graph the... (answered by solver91311)

Find the x-coordinate of the vertex, the y-coordinate of the vertex. f(x) = -2x^2 + 2x (answered by nyc_function,nerdybill)

I would appreciate your help on this: f(x)=-2x^2+2x+6. Find the vertex, the line of... (answered by josmiceli)

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 vertex and the line of symmetry of the quadratic function. F(x)=-2x^2+2x+1 The (answered by rfer)

Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic... (answered by solver91311)

Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic... (answered by jim_thompson5910)

This is one question with different parts, please help. Thank you Find the vertex, line... (answered by stanbon)

this is one question with different parts Find the vertex, line of symmetry, maximum or (answered by solver91311,MathLover1)