The first equation is y = (1/2)x^2, which represents a parabola that opens upwards.
The second equation is y = 2x^2, which represents a parabola that opens upwards and is steeper than the first parabola.
When we compare the two equations, we can see that the second parabola is twice as steep as the first parabola. This means that for every x value, the corresponding y value in the second equation will be twice as large as in the first equation.
In general, when you have a factor in front of the x^2 term (e.g. 2x^2), it stretches or compresses the parabola along the y-axis. If the factor is greater than 1, then the parabola will be steeper, while if it is between 0 and 1, the parabola will be flatter.
The first equation is y = (1/2)x^2, which represents a parabola that opens upwards.
The second equation is y = 2x^2, which represents a parabola that opens upwards and is steeper than the first parabola.
When we compare the two equations, we can see that the second parabola is twice as steep as the first parabola. This means that for every x value, the corresponding y value in the second equation will be twice as large as in the first equation.
In general, when you have a factor in front of the x^2 term (e.g. 2x^2), it stretches or compresses the parabola along the y-axis. If the factor is greater than 1, then the parabola will be steeper, while if it is between 0 and 1, the parabola will be flatter.