Step-by-step explanation:

<span>For this case we have the following function:
</span>

<span> To find the axis of symmetry, the first thing to do is to derive the function.
We have then:
</span>

<span> Equaling zero we have:
</span>

<span> We clear the value of x.
We have then:
</span>

<span>
Answer:
The axis of symmetry is given by:
x = -2</span>
Answer:
The inverse of the function is ±sqrt( (x+4)/2
Step-by-step explanation:
Set the function equal to y
y = 2x^2 -4
Exchange x and y
x = 2y^2 -4
Solve for y
Add 4 to each side
x+4 = 2y^2 -4+4
x+4 = 2y^2
Divide each side by 2
(x+4)/2 = 2/2y^2
(x+4)/2 = y^2
Take the square root of each side
±sqrt( (x+4)/2 )= sqrt(y^2)
±sqrt( (x+4)/2 )= y
The inverse of the function is ±sqrt( (x+4)/2
Answer:
y = 2x - 1 is the required equation
Step-by-step explanation:
slope(m) = (3-7)/(2-4)
m = -4/(-2)
so, m = 2
Now,
y = mx + b
or, y = 2x + b
so, 3 = 2*2 + b
or, 3 = 4 + b
so, b = -1
equation would be y = 2x - 1