For the data in the table, does y vary directly with x? if it does, write an equation for the direct variation.

Look at pictures below to understand how I got my answer.

Step-by-step explanation:

no; this is not direct variation

Step-by-step explanation:

y = kx is the formula for direct variation

For the first line

28 = k*4

Divide each side by 4

28/4 = 4k/4

7 = k

Now our equation is y = 7x

Substitute the second line

48 = 7*6

48 = 42

This is not true, so this cannot be direct variation

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.