A constant function is just a horizontal line.
To graph the function y=5 or f(x)=5, just draw a horizontal line at y=5 and x=0.
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The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
Any equation where variable a = some multiple of variable b2 + constant will graph a parabola.
A formula or graph are two ways to describe a math function. How a math function is described depends on the domain of the function or the complexity of the function.
The straight line in the graph goes 'uphill' from left to right
k is the constant of variation and is the gradient (slope) of the relevant graph.