You are supposed to find the direction, vertex, axis of symmetry and whether the point is minimum or maximum

Don't repost. be patient and we will answer

so

remember some stuff
to find the axis of symmetry of y=ax^2+bx+c
the axis of symmetry is x=-b/(2a)
that is also the x value of the vertex
to get the y value of the vertex, sub the x value of the vertex into the function

and if a is positive, then the parabola opens up and the vertex is a minimum
if a is negative, parabola opens down and vertex is max

so

y=3x^2-6x+4
3 is positive so vertex is a minimum
axis of symmetry is -(-6)/(2*3)=6/6=1
x=1 is axis of symmetry and x value of vertex
sub to find y
y=3(1)^2-6(1)+4
y=3(1)-6+4
y=3-2
y=1

axis of symmetry is x=1
vertex is (1,1)
it is a minimum
the parabola opens up

Hello!

the answer is:

the answer is:

why?

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

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