If you apply the changes below to the quadratic parent function, f(x) = what is the equation of the new function? Shift 1 unit right. Vertically stretch by a factor of 5. Reflect over the x-axis.

f(x)=-5(x-1)^2

Step-by-step explanation:

The given parent function is: f(x)=x^2

If we shift to the right by 1 unit, the function becomes: f(x)=(x-1)^2

If we stretch by a factor of 5, the function becomes, f(x)=5(x-1)^2

Finally reflecting over the x-axis gives: f(x)=-5(x-1)^2

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3