Does the equation y=9x^2+19 represent a linear function?

because the equation has an (constant of 19/ exponent of 2) , it (can/cannot) be written in the form y=mx+b.

when the equation is graphed, the rate of change between different pairs of coordinates on the graph (is constant/varies) so the graph of the equation is a (curve/point/straight line)

therefore, the equation represents a (linear/nonlinear) function.

Because the equation has an , it be written in the form y = mx+b

When the equation is graphed, the rate of change between different pairs of coordinates on the graph so the graph of the equation is a

Therefore, the equation represents a function.

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So in short, y = 9x^2+19 is not linear because it graphs out a curve that isn't a straight line.

More info: The equation y = 9x^2+19 is a quadratic function as the exponent of 2 is the largest exponent. The degree is 2 for the same reason. A parabola will be graphed in this case, which is a curved bowl-like shape. The lowest point of this parabola is at (0,19) which is also the y intercept. There are no x intercepts as this parabola is entirely above the x axis and it goes on forever upward. See the diagram below for the graph of y = 9x^2+19.