graph-the-following-equations-on-one-cartesian-coordinate-plane-and-describe-the

Question

Graph the following equations on one Cartesian coordinate plane and describe the effect of the coefficient of x² on the graph's appearance:

y = x², y = 5x², y = 1/5x²

Accepted Answer

The larger the coefficient of x² is, the narrower the parabola will be.

Graph showing y = x², y = 5x², and y = 1/5x² parabolas on a Cartesian plane.

Answer

The larger the coefficient of x² is, the wider the parabola will be.

Graph showing y = 1/5x², y = x², and y = 5x² parabolas on a Cartesian plane.

Answer

The larger the coefficient of x² is, the narrower the parabola will be.

Graph showing y = 5x², y = x², and y = 1/5x² parabolas on a Cartesian plane.

Answer

The larger the coefficient of x² is, the wider the parabola will be.

Graph showing y = 1/5x², y = x², and y = 5x² parabolas on a Cartesian plane.

Graph the following equations on one Cartesian coordinate plane and describe the effect of the coefficient of x² on the graph's appearance:y = x2, y = 5x2, y = 1/5x2