What is the constant of proportionality in the equation 9y = 45x?

We have been given an equation and we are asked to find the constant of proportionality of this equation.

In order to find constant of proportionality we will use proportionality constant formula , where k is proportionality constant.

Now let us try to write our given equation in this form,

Now let us divide both sides of our equation by 9

After dividing both sides of our equation by 9 we will get

Upon comparing our equation with   we get proportionality constant as 5.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2