An even function can be reflected about the y axis and map onto itself
example: y=x^2
an odd function can be reflected about the origin and map onto itself
example: y=x^3
a simple test is the following
if f(x) is even then f(-x)=f(x)
if f(x) is odd then f(-x)=-f(x)
so
even function
subsitute -x for each and see if we get the same function
remember to fully expand these
g(x)=(x-1)^2+1=x^2-2x+1+1=x^2-2x+2 is the original one
g(x)=(x-1)^2+1
g(-x)=(-x-1)^2+1
g(-x)=(1)(x+1)^2+1
g(-x)=x^2+2x+1+1
g(-x)=x^2+2x+2
not same because the original has -2x
not even
g(x)=2x^2+1
g(-x)=2(-x)^2+1
g(-x)=2x^2+1
same, it's even
g(x)=4x+2
g(-x)=4(-x)+2
g(-x)=-4x+2
not the same, not even
g(x)=2x
g(-x)=2(-x)
g(-x)=-2x
not same, not even
g(x)=2x²+1 is the even function
Parallel means their slopes should equal to each other.
Thus we need to find the slope of the given line ,
Let's do it.....
Subtract sides -3x
Divided sides by -4
This is the slope-intercept of the line.
We know that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus the slope of the equation which we want is :
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We have following equation to find the point-slope form of the linear functions.
Now just need to put the slope and the given point in the above equation.
Multiply sides by 4
Plus sides 24
Subtract sides -3x
And we're done....♥️♥️♥️♥️♥️
Answer:
12 boys and 18 girls
Step-by-step explanation:
the ratio from boys to girls is 2 to 3
12/2=6
18/3=6
both equal 6 meaning that both are proportional meaning that A is the correct answer
